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Finding the Fourth Proportional to 69,952.38, 96,531.84 and 38,120.64

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Solution

The fourth proportional to 69,952.38, 96,531.84 and 38,120.64 is: 52,605.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,952.38 : 96,531.84 = 38,120.64 : x
  2. Step 2: Convert to fraction form
    69,952.38/96,531.84 = 38,120.64/x
  3. Step 3: Cross multiply
    69,952.38x = 96,531.84 × 38,120.64
  4. Step 4: Simplify right side
    69,952.38x = 3,679,855,521.18
  5. Step 5: Solve for x
    x = 3,679,855,521.18/69,952.38
  6. Step 6: Final answer
    x = 52,605.15

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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.