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Finding the Fourth Proportional to 52,052.30, 71,832.15 and 28,178.95

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Solution

The fourth proportional to 52,052.30, 71,832.15 and 28,178.95 is: 38,886.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052.30 : 71,832.15 = 28,178.95 : x
  2. Step 2: Convert to fraction form
    52,052.30/71,832.15 = 28,178.95/x
  3. Step 3: Cross multiply
    52,052.30x = 71,832.15 × 28,178.95
  4. Step 4: Simplify right side
    52,052.30x = 2,024,154,563.24
  5. Step 5: Solve for x
    x = 2,024,154,563.24/52,052.30
  6. Step 6: Final answer
    x = 38,886.94

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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.