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Finding the Fourth Proportional to 82,471.86, 123,707.91 and 29,869.02

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Solution

The fourth proportional to 82,471.86, 123,707.91 and 29,869.02 is: 44,803.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,471.86 : 123,707.91 = 29,869.02 : x
  2. Step 2: Convert to fraction form
    82,471.86/123,707.91 = 29,869.02/x
  3. Step 3: Cross multiply
    82,471.86x = 123,707.91 × 29,869.02
  4. Step 4: Simplify right side
    82,471.86x = 3,695,034,037.95
  5. Step 5: Solve for x
    x = 3,695,034,037.95/82,471.86
  6. Step 6: Final answer
    x = 44,803.57

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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.