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Finding the Fourth Proportional to 31,719.52, 47,579.28 and 8,344

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Solution

The fourth proportional to 31,719.52, 47,579.28 and 8,344 is: 12,516

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719.52 : 47,579.28 = 8,344 : x
  2. Step 2: Convert to fraction form
    31,719.52/47,579.28 = 8,344/x
  3. Step 3: Cross multiply
    31,719.52x = 47,579.28 × 8,344
  4. Step 4: Simplify right side
    31,719.52x = 397,001,512.32
  5. Step 5: Solve for x
    x = 397,001,512.32/31,719.52
  6. Step 6: Final answer
    x = 12,516

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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.