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Finding the Fourth Proportional to 32,097.92, 48,120.80 and 13,391.90

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Solution

The fourth proportional to 32,097.92, 48,120.80 and 13,391.90 is: 20,076.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.92 : 48,120.80 = 13,391.90 : x
  2. Step 2: Convert to fraction form
    32,097.92/48,120.80 = 13,391.90/x
  3. Step 3: Cross multiply
    32,097.92x = 48,120.80 × 13,391.90
  4. Step 4: Simplify right side
    32,097.92x = 644,428,684.18
  5. Step 5: Solve for x
    x = 644,428,684.18/32,097.92
  6. Step 6: Final answer
    x = 20,076.96

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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.