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Finding the Fourth Proportional to 32,149.04, 44,366.04 and 18,002

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Solution

The fourth proportional to 32,149.04, 44,366.04 and 18,002 is: 24,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,149.04 : 44,366.04 = 18,002 : x
  2. Step 2: Convert to fraction form
    32,149.04/44,366.04 = 18,002/x
  3. Step 3: Cross multiply
    32,149.04x = 44,366.04 × 18,002
  4. Step 4: Simplify right side
    32,149.04x = 798,677,452.08
  5. Step 5: Solve for x
    x = 798,677,452.08/32,149.04
  6. Step 6: Final answer
    x = 24,842.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.