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Finding the Fourth Proportional to 31,729.90, 47,597.28 and 8,356

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Solution

The fourth proportional to 31,729.90, 47,597.28 and 8,356 is: 12,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,729.90 : 47,597.28 = 8,356 : x
  2. Step 2: Convert to fraction form
    31,729.90/47,597.28 = 8,356/x
  3. Step 3: Cross multiply
    31,729.90x = 47,597.28 × 8,356
  4. Step 4: Simplify right side
    31,729.90x = 397,722,871.68
  5. Step 5: Solve for x
    x = 397,722,871.68/31,729.90
  6. Step 6: Final answer
    x = 12,534.64

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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.