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Finding the Fourth Proportional to 34,585.62, 51,846.54 and 13,540

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Solution

The fourth proportional to 34,585.62, 51,846.54 and 13,540 is: 20,297.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,585.62 : 51,846.54 = 13,540 : x
  2. Step 2: Convert to fraction form
    34,585.62/51,846.54 = 13,540/x
  3. Step 3: Cross multiply
    34,585.62x = 51,846.54 × 13,540
  4. Step 4: Simplify right side
    34,585.62x = 702,002,151.60
  5. Step 5: Solve for x
    x = 702,002,151.60/34,585.62
  6. Step 6: Final answer
    x = 20,297.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.