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Finding the Fourth Proportional to 32,114.92, 48,176.92 and 9,930.22

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Solution

The fourth proportional to 32,114.92, 48,176.92 and 9,930.22 is: 14,896.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.92 : 48,176.92 = 9,930.22 : x
  2. Step 2: Convert to fraction form
    32,114.92/48,176.92 = 9,930.22/x
  3. Step 3: Cross multiply
    32,114.92x = 48,176.92 × 9,930.22
  4. Step 4: Simplify right side
    32,114.92x = 478,407,414.52
  5. Step 5: Solve for x
    x = 478,407,414.52/32,114.92
  6. Step 6: Final answer
    x = 14,896.73

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1.5x scale

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.