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Finding the Fourth Proportional to 69,876.38, 96,426.17 and 38,045.18

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Solution

The fourth proportional to 69,876.38, 96,426.17 and 38,045.18 is: 52,500.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876.38 : 96,426.17 = 38,045.18 : x
  2. Step 2: Convert to fraction form
    69,876.38/96,426.17 = 38,045.18/x
  3. Step 3: Cross multiply
    69,876.38x = 96,426.17 × 38,045.18
  4. Step 4: Simplify right side
    69,876.38x = 3,668,550,322.00
  5. Step 5: Solve for x
    x = 3,668,550,322.00/69,876.38
  6. Step 6: Final answer
    x = 52,500.58

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Why These Related Problems?

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