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Finding the Fourth Proportional to 69,872.38, 96,424.28 and 38,041.20

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Solution

The fourth proportional to 69,872.38, 96,424.28 and 38,041.20 is: 52,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,872.38 : 96,424.28 = 38,041.20 : x
  2. Step 2: Convert to fraction form
    69,872.38/96,424.28 = 38,041.20/x
  3. Step 3: Cross multiply
    69,872.38x = 96,424.28 × 38,041.20
  4. Step 4: Simplify right side
    69,872.38x = 3,668,095,320.34
  5. Step 5: Solve for x
    x = 3,668,095,320.34/69,872.38
  6. Step 6: Final answer
    x = 52,497.07

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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.