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Finding the Fourth Proportional to 32,291.80, 48,432.03 and 8,913.04

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Solution

The fourth proportional to 32,291.80, 48,432.03 and 8,913.04 is: 13,367.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,291.80 : 48,432.03 = 8,913.04 : x
  2. Step 2: Convert to fraction form
    32,291.80/48,432.03 = 8,913.04/x
  3. Step 3: Cross multiply
    32,291.80x = 48,432.03 × 8,913.04
  4. Step 4: Simplify right side
    32,291.80x = 431,676,620.67
  5. Step 5: Solve for x
    x = 431,676,620.67/32,291.80
  6. Step 6: Final answer
    x = 13,367.99

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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.