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Finding the Fourth Proportional to 82,428,449.88, 123,646,037.31 and 21,019,201.20

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Solution

The fourth proportional to 82,428,449.88, 123,646,037.31 and 21,019,201.20 is: 31,529,659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,428,449.88 : 123,646,037.31 = 21,019,201.20 : x
  2. Step 2: Convert to fraction form
    82,428,449.88/123,646,037.31 = 21,019,201.20/x
  3. Step 3: Cross multiply
    82,428,449.88x = 123,646,037.31 × 21,019,201.20
  4. Step 4: Simplify right side
    82,428,449.88x = 2,598,940,935,801,596.50
  5. Step 5: Solve for x
    x = 2,598,940,935,801,596.50/82,428,449.88
  6. Step 6: Final answer
    x = 31,529,659.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.