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Finding the Fourth Proportional to 52,565.92, 78,843.76 and 15,630.24

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Solution

The fourth proportional to 52,565.92, 78,843.76 and 15,630.24 is: 23,443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,565.92 : 78,843.76 = 15,630.24 : x
  2. Step 2: Convert to fraction form
    52,565.92/78,843.76 = 15,630.24/x
  3. Step 3: Cross multiply
    52,565.92x = 78,843.76 × 15,630.24
  4. Step 4: Simplify right side
    52,565.92x = 1,232,346,891.30
  5. Step 5: Solve for x
    x = 1,232,346,891.30/52,565.92
  6. Step 6: Final answer
    x = 23,443.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.