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Finding the Fourth Proportional to 31,364.20, 47,046.30 and 29,549.80

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Solution

The fourth proportional to 31,364.20, 47,046.30 and 29,549.80 is: 44,324.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,364.20 : 47,046.30 = 29,549.80 : x
  2. Step 2: Convert to fraction form
    31,364.20/47,046.30 = 29,549.80/x
  3. Step 3: Cross multiply
    31,364.20x = 47,046.30 × 29,549.80
  4. Step 4: Simplify right side
    31,364.20x = 1,390,208,755.74
  5. Step 5: Solve for x
    x = 1,390,208,755.74/31,364.20
  6. Step 6: Final answer
    x = 44,324.70

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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.