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Finding the Fourth Proportional to 31,753.45, 47,652.04 and 10,976.95

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Solution

The fourth proportional to 31,753.45, 47,652.04 and 10,976.95 is: 16,472.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,753.45 : 47,652.04 = 10,976.95 : x
  2. Step 2: Convert to fraction form
    31,753.45/47,652.04 = 10,976.95/x
  3. Step 3: Cross multiply
    31,753.45x = 47,652.04 × 10,976.95
  4. Step 4: Simplify right side
    31,753.45x = 523,073,822.22
  5. Step 5: Solve for x
    x = 523,073,822.22/31,753.45
  6. Step 6: Final answer
    x = 16,472.98

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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.