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Finding the Fourth Proportional to 31,863.85, 47,702.32 and 22,343.15

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Solution

The fourth proportional to 31,863.85, 47,702.32 and 22,343.15 is: 33,449.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.85 : 47,702.32 = 22,343.15 : x
  2. Step 2: Convert to fraction form
    31,863.85/47,702.32 = 22,343.15/x
  3. Step 3: Cross multiply
    31,863.85x = 47,702.32 × 22,343.15
  4. Step 4: Simplify right side
    31,863.85x = 1,065,820,154.51
  5. Step 5: Solve for x
    x = 1,065,820,154.51/31,863.85
  6. Step 6: Final answer
    x = 33,449.20

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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.