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Finding the Fourth Proportional to 82,606.20, 123,914.02 and 23,437.20

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Solution

The fourth proportional to 82,606.20, 123,914.02 and 23,437.20 is: 35,157.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,606.20 : 123,914.02 = 23,437.20 : x
  2. Step 2: Convert to fraction form
    82,606.20/123,914.02 = 23,437.20/x
  3. Step 3: Cross multiply
    82,606.20x = 123,914.02 × 23,437.20
  4. Step 4: Simplify right side
    82,606.20x = 2,904,197,669.54
  5. Step 5: Solve for x
    x = 2,904,197,669.54/82,606.20
  6. Step 6: Final answer
    x = 35,157.14

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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.