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Finding the Fourth Proportional to 52,311.52, 72,186.88 and 28,438

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Solution

The fourth proportional to 52,311.52, 72,186.88 and 28,438 is: 39,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,311.52 : 72,186.88 = 28,438 : x
  2. Step 2: Convert to fraction form
    52,311.52/72,186.88 = 28,438/x
  3. Step 3: Cross multiply
    52,311.52x = 72,186.88 × 28,438
  4. Step 4: Simplify right side
    52,311.52x = 2,052,850,493.44
  5. Step 5: Solve for x
    x = 2,052,850,493.44/52,311.52
  6. Step 6: Final answer
    x = 39,242.80

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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.