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Finding the Fourth Proportional to 71,871.06, 107,813.88 and 27,534.90

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Solution

The fourth proportional to 71,871.06, 107,813.88 and 27,534.90 is: 41,305.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,871.06 : 107,813.88 = 27,534.90 : x
  2. Step 2: Convert to fraction form
    71,871.06/107,813.88 = 27,534.90/x
  3. Step 3: Cross multiply
    71,871.06x = 107,813.88 × 27,534.90
  4. Step 4: Simplify right side
    71,871.06x = 2,968,644,404.41
  5. Step 5: Solve for x
    x = 2,968,644,404.41/71,871.06
  6. Step 6: Final answer
    x = 41,305.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.