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Finding the Fourth Proportional to 52,509.92, 78,780.52 and 24,446.56

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Solution

The fourth proportional to 52,509.92, 78,780.52 and 24,446.56 is: 36,677.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,509.92 : 78,780.52 = 24,446.56 : x
  2. Step 2: Convert to fraction form
    52,509.92/78,780.52 = 24,446.56/x
  3. Step 3: Cross multiply
    52,509.92x = 78,780.52 × 24,446.56
  4. Step 4: Simplify right side
    52,509.92x = 1,925,912,709.01
  5. Step 5: Solve for x
    x = 1,925,912,709.01/52,509.92
  6. Step 6: Final answer
    x = 36,677.12

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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.