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Finding the Fourth Proportional to 57,528.35, 86,257.29 and 22,427

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Solution

The fourth proportional to 57,528.35, 86,257.29 and 22,427 is: 33,626.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,528.35 : 86,257.29 = 22,427 : x
  2. Step 2: Convert to fraction form
    57,528.35/86,257.29 = 22,427/x
  3. Step 3: Cross multiply
    57,528.35x = 86,257.29 × 22,427
  4. Step 4: Simplify right side
    57,528.35x = 1,934,492,242.83
  5. Step 5: Solve for x
    x = 1,934,492,242.83/57,528.35
  6. Step 6: Final answer
    x = 33,626.76

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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.