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Finding the Fourth Proportional to 43,166.59, 64,747.72 and 12,002.11

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Solution

The fourth proportional to 43,166.59, 64,747.72 and 12,002.11 is: 18,002.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,166.59 : 64,747.72 = 12,002.11 : x
  2. Step 2: Convert to fraction form
    43,166.59/64,747.72 = 12,002.11/x
  3. Step 3: Cross multiply
    43,166.59x = 64,747.72 × 12,002.11
  4. Step 4: Simplify right side
    43,166.59x = 777,109,257.69
  5. Step 5: Solve for x
    x = 777,109,257.69/43,166.59
  6. Step 6: Final answer
    x = 18,002.56

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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.