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Finding the Fourth Proportional to 27,462.14, 41,178.45 and 8,737.10

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Solution

The fourth proportional to 27,462.14, 41,178.45 and 8,737.10 is: 13,100.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,462.14 : 41,178.45 = 8,737.10 : x
  2. Step 2: Convert to fraction form
    27,462.14/41,178.45 = 8,737.10/x
  3. Step 3: Cross multiply
    27,462.14x = 41,178.45 × 8,737.10
  4. Step 4: Simplify right side
    27,462.14x = 359,780,235.50
  5. Step 5: Solve for x
    x = 359,780,235.50/27,462.14
  6. Step 6: Final answer
    x = 13,100.95

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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.