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Finding the Fourth Proportional to 32,760, 49,140 and 10,591.92

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Solution

The fourth proportional to 32,760, 49,140 and 10,591.92 is: 15,887.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,760 : 49,140 = 10,591.92 : x
  2. Step 2: Convert to fraction form
    32,760/49,140 = 10,591.92/x
  3. Step 3: Cross multiply
    32,760x = 49,140 × 10,591.92
  4. Step 4: Simplify right side
    32,760x = 520,486,948.80
  5. Step 5: Solve for x
    x = 520,486,948.80/32,760
  6. Step 6: Final answer
    x = 15,887.88

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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.