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Finding the Fourth Proportional to 69,854.17, 96,398.76 and 38,023.30

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Solution

The fourth proportional to 69,854.17, 96,398.76 and 38,023.30 is: 52,472.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,854.17 : 96,398.76 = 38,023.30 : x
  2. Step 2: Convert to fraction form
    69,854.17/96,398.76 = 38,023.30/x
  3. Step 3: Cross multiply
    69,854.17x = 96,398.76 × 38,023.30
  4. Step 4: Simplify right side
    69,854.17x = 3,665,398,971.11
  5. Step 5: Solve for x
    x = 3,665,398,971.11/69,854.17
  6. Step 6: Final answer
    x = 52,472.16

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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.