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Finding the Fourth Proportional to 57,071.30, 85,627.14 and 25,478.42

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Solution

The fourth proportional to 57,071.30, 85,627.14 and 25,478.42 is: 38,226.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,071.30 : 85,627.14 = 25,478.42 : x
  2. Step 2: Convert to fraction form
    57,071.30/85,627.14 = 25,478.42/x
  3. Step 3: Cross multiply
    57,071.30x = 85,627.14 × 25,478.42
  4. Step 4: Simplify right side
    57,071.30x = 2,181,644,236.32
  5. Step 5: Solve for x
    x = 2,181,644,236.32/57,071.30
  6. Step 6: Final answer
    x = 38,226.64

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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.