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Finding the Fourth Proportional to 69,866, 96,414.92 and 38,035.12

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Solution

The fourth proportional to 69,866, 96,414.92 and 38,035.12 is: 52,488.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,866 : 96,414.92 = 38,035.12 : x
  2. Step 2: Convert to fraction form
    69,866/96,414.92 = 38,035.12/x
  3. Step 3: Cross multiply
    69,866x = 96,414.92 × 38,035.12
  4. Step 4: Simplify right side
    69,866x = 3,667,153,051.99
  5. Step 5: Solve for x
    x = 3,667,153,051.99/69,866
  6. Step 6: Final answer
    x = 52,488.38

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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.