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Finding the Fourth Proportional to 34,956.87, 52,391.51 and 27,532

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Solution

The fourth proportional to 34,956.87, 52,391.51 and 27,532 is: 41,263.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,956.87 : 52,391.51 = 27,532 : x
  2. Step 2: Convert to fraction form
    34,956.87/52,391.51 = 27,532/x
  3. Step 3: Cross multiply
    34,956.87x = 52,391.51 × 27,532
  4. Step 4: Simplify right side
    34,956.87x = 1,442,443,053.32
  5. Step 5: Solve for x
    x = 1,442,443,053.32/34,956.87
  6. Step 6: Final answer
    x = 41,263.51

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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.