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Finding the Fourth Proportional to 59,432.52, 82,106.16 and 39,063.24

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Solution

The fourth proportional to 59,432.52, 82,106.16 and 39,063.24 is: 53,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,432.52 : 82,106.16 = 39,063.24 : x
  2. Step 2: Convert to fraction form
    59,432.52/82,106.16 = 39,063.24/x
  3. Step 3: Cross multiply
    59,432.52x = 82,106.16 × 39,063.24
  4. Step 4: Simplify right side
    59,432.52x = 3,207,332,633.56
  5. Step 5: Solve for x
    x = 3,207,332,633.56/59,432.52
  6. Step 6: Final answer
    x = 53,965.95

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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.