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Finding the Fourth Proportional to 42,694.32, 64,034.13 and 11,522.28

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Solution

The fourth proportional to 42,694.32, 64,034.13 and 11,522.28 is: 17,281.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,694.32 : 64,034.13 = 11,522.28 : x
  2. Step 2: Convert to fraction form
    42,694.32/64,034.13 = 11,522.28/x
  3. Step 3: Cross multiply
    42,694.32x = 64,034.13 × 11,522.28
  4. Step 4: Simplify right side
    42,694.32x = 737,819,175.42
  5. Step 5: Solve for x
    x = 737,819,175.42/42,694.32
  6. Step 6: Final answer
    x = 17,281.44

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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.