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Finding the Fourth Proportional to 57,187.32, 85,664.28 and 29,427

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Solution

The fourth proportional to 57,187.32, 85,664.28 and 29,427 is: 44,080.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,187.32 : 85,664.28 = 29,427 : x
  2. Step 2: Convert to fraction form
    57,187.32/85,664.28 = 29,427/x
  3. Step 3: Cross multiply
    57,187.32x = 85,664.28 × 29,427
  4. Step 4: Simplify right side
    57,187.32x = 2,520,842,767.56
  5. Step 5: Solve for x
    x = 2,520,842,767.56/57,187.32
  6. Step 6: Final answer
    x = 44,080.45

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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.