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Finding the Fourth Proportional to 71,878.22, 107,867.35 and 29,758.52

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Solution

The fourth proportional to 71,878.22, 107,867.35 and 29,758.52 is: 44,658.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,878.22 : 107,867.35 = 29,758.52 : x
  2. Step 2: Convert to fraction form
    71,878.22/107,867.35 = 29,758.52/x
  3. Step 3: Cross multiply
    71,878.22x = 107,867.35 × 29,758.52
  4. Step 4: Simplify right side
    71,878.22x = 3,209,972,692.32
  5. Step 5: Solve for x
    x = 3,209,972,692.32/71,878.22
  6. Step 6: Final answer
    x = 44,658.49

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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.