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Finding the Fourth Proportional to 32,177.13, 48,265 and 8,803.57

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Solution

The fourth proportional to 32,177.13, 48,265 and 8,803.57 is: 13,205.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,177.13 : 48,265 = 8,803.57 : x
  2. Step 2: Convert to fraction form
    32,177.13/48,265 = 8,803.57/x
  3. Step 3: Cross multiply
    32,177.13x = 48,265 × 8,803.57
  4. Step 4: Simplify right side
    32,177.13x = 424,904,306.05
  5. Step 5: Solve for x
    x = 424,904,306.05/32,177.13
  6. Step 6: Final answer
    x = 13,205.16

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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.