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Finding the Fourth Proportional to 82,471.77, 123,709.95 and 29,156.22

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Solution

The fourth proportional to 82,471.77, 123,709.95 and 29,156.22 is: 43,735.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,471.77 : 123,709.95 = 29,156.22 : x
  2. Step 2: Convert to fraction form
    82,471.77/123,709.95 = 29,156.22/x
  3. Step 3: Cross multiply
    82,471.77x = 123,709.95 × 29,156.22
  4. Step 4: Simplify right side
    82,471.77x = 3,606,914,518.39
  5. Step 5: Solve for x
    x = 3,606,914,518.39/82,471.77
  6. Step 6: Final answer
    x = 43,735.14

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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.