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Finding the Fourth Proportional to 32,480.96, 48,724.53 and 9,107.33

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Solution

The fourth proportional to 32,480.96, 48,724.53 and 9,107.33 is: 13,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,480.96 : 48,724.53 = 9,107.33 : x
  2. Step 2: Convert to fraction form
    32,480.96/48,724.53 = 9,107.33/x
  3. Step 3: Cross multiply
    32,480.96x = 48,724.53 × 9,107.33
  4. Step 4: Simplify right side
    32,480.96x = 443,750,373.80
  5. Step 5: Solve for x
    x = 443,750,373.80/32,480.96
  6. Step 6: Final answer
    x = 13,661.86

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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.