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Finding the Fourth Proportional to 97,382.32, 145,689.14 and 73,757.92

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Solution

The fourth proportional to 97,382.32, 145,689.14 and 73,757.92 is: 110,345.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,382.32 : 145,689.14 = 73,757.92 : x
  2. Step 2: Convert to fraction form
    97,382.32/145,689.14 = 73,757.92/x
  3. Step 3: Cross multiply
    97,382.32x = 145,689.14 × 73,757.92
  4. Step 4: Simplify right side
    97,382.32x = 10,745,727,932.99
  5. Step 5: Solve for x
    x = 10,745,727,932.99/97,382.32
  6. Step 6: Final answer
    x = 110,345.78

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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.