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Finding the Fourth Proportional to 89,711.75, 123,820.04 and 53,422.13

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Solution

The fourth proportional to 89,711.75, 123,820.04 and 53,422.13 is: 73,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,711.75 : 123,820.04 = 53,422.13 : x
  2. Step 2: Convert to fraction form
    89,711.75/123,820.04 = 53,422.13/x
  3. Step 3: Cross multiply
    89,711.75x = 123,820.04 × 53,422.13
  4. Step 4: Simplify right side
    89,711.75x = 6,614,730,716.59
  5. Step 5: Solve for x
    x = 6,614,730,716.59/89,711.75
  6. Step 6: Final answer
    x = 73,733.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.