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Finding the Fourth Proportional to 32,149.86, 48,207.17 and 9,957.07

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Solution

The fourth proportional to 32,149.86, 48,207.17 and 9,957.07 is: 14,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.86 : 48,207.17 = 9,957.07 : x
  2. Step 2: Convert to fraction form
    32,149.86/48,207.17 = 9,957.07/x
  3. Step 3: Cross multiply
    32,149.86x = 48,207.17 × 9,957.07
  4. Step 4: Simplify right side
    32,149.86x = 480,002,231.69
  5. Step 5: Solve for x
    x = 480,002,231.69/32,149.86
  6. Step 6: Final answer
    x = 14,930.15

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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.