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Finding the Fourth Proportional to 71,218.56, 106,827.84 and 31,766.16

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Solution

The fourth proportional to 71,218.56, 106,827.84 and 31,766.16 is: 47,649.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,218.56 : 106,827.84 = 31,766.16 : x
  2. Step 2: Convert to fraction form
    71,218.56/106,827.84 = 31,766.16/x
  3. Step 3: Cross multiply
    71,218.56x = 106,827.84 × 31,766.16
  4. Step 4: Simplify right side
    71,218.56x = 3,393,510,257.89
  5. Step 5: Solve for x
    x = 3,393,510,257.89/71,218.56
  6. Step 6: Final answer
    x = 47,649.24

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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.