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Finding the Fourth Proportional to 52,038.32, 71,796.12 and 31,874.18

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Solution

The fourth proportional to 52,038.32, 71,796.12 and 31,874.18 is: 43,976.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,038.32 : 71,796.12 = 31,874.18 : x
  2. Step 2: Convert to fraction form
    52,038.32/71,796.12 = 31,874.18/x
  3. Step 3: Cross multiply
    52,038.32x = 71,796.12 × 31,874.18
  4. Step 4: Simplify right side
    52,038.32x = 2,288,442,452.18
  5. Step 5: Solve for x
    x = 2,288,442,452.18/52,038.32
  6. Step 6: Final answer
    x = 43,976.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.