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Finding the Fourth Proportional to 31,616.68, 47,388.54 and 11,882.62

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Solution

The fourth proportional to 31,616.68, 47,388.54 and 11,882.62 is: 17,810.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.68 : 47,388.54 = 11,882.62 : x
  2. Step 2: Convert to fraction form
    31,616.68/47,388.54 = 11,882.62/x
  3. Step 3: Cross multiply
    31,616.68x = 47,388.54 × 11,882.62
  4. Step 4: Simplify right side
    31,616.68x = 563,100,013.17
  5. Step 5: Solve for x
    x = 563,100,013.17/31,616.68
  6. Step 6: Final answer
    x = 17,810.22

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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.