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Finding the Fourth Proportional to 72,829.92, 109,248.72 and 41,695.20

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Solution

The fourth proportional to 72,829.92, 109,248.72 and 41,695.20 is: 62,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829.92 : 109,248.72 = 41,695.20 : x
  2. Step 2: Convert to fraction form
    72,829.92/109,248.72 = 41,695.20/x
  3. Step 3: Cross multiply
    72,829.92x = 109,248.72 × 41,695.20
  4. Step 4: Simplify right side
    72,829.92x = 4,555,147,230.14
  5. Step 5: Solve for x
    x = 4,555,147,230.14/72,829.92
  6. Step 6: Final answer
    x = 62,545.00

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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.