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Finding the Fourth Proportional to 27,344.50, 41,017.16 and 9,574.52

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Solution

The fourth proportional to 27,344.50, 41,017.16 and 9,574.52 is: 14,361.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,344.50 : 41,017.16 = 9,574.52 : x
  2. Step 2: Convert to fraction form
    27,344.50/41,017.16 = 9,574.52/x
  3. Step 3: Cross multiply
    27,344.50x = 41,017.16 × 9,574.52
  4. Step 4: Simplify right side
    27,344.50x = 392,719,437.61
  5. Step 5: Solve for x
    x = 392,719,437.61/27,344.50
  6. Step 6: Final answer
    x = 14,361.92

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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.