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Finding the Fourth Proportional to 32,200.92, 48,314.68 and 14,179.90

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Solution

The fourth proportional to 32,200.92, 48,314.68 and 14,179.90 is: 21,275.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.92 : 48,314.68 = 14,179.90 : x
  2. Step 2: Convert to fraction form
    32,200.92/48,314.68 = 14,179.90/x
  3. Step 3: Cross multiply
    32,200.92x = 48,314.68 × 14,179.90
  4. Step 4: Simplify right side
    32,200.92x = 685,097,330.93
  5. Step 5: Solve for x
    x = 685,097,330.93/32,200.92
  6. Step 6: Final answer
    x = 21,275.71

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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.