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Finding the Fourth Proportional to 24,527, 36,791.22 and 6,059

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Solution

The fourth proportional to 24,527, 36,791.22 and 6,059 is: 9,088.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,527 : 36,791.22 = 6,059 : x
  2. Step 2: Convert to fraction form
    24,527/36,791.22 = 6,059/x
  3. Step 3: Cross multiply
    24,527x = 36,791.22 × 6,059
  4. Step 4: Simplify right side
    24,527x = 222,918,001.98
  5. Step 5: Solve for x
    x = 222,918,001.98/24,527
  6. Step 6: Final answer
    x = 9,088.68

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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.