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Finding the Fourth Proportional to 57,232.10, 85,848.15 and 25,642.10

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Solution

The fourth proportional to 57,232.10, 85,848.15 and 25,642.10 is: 38,463.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,232.10 : 85,848.15 = 25,642.10 : x
  2. Step 2: Convert to fraction form
    57,232.10/85,848.15 = 25,642.10/x
  3. Step 3: Cross multiply
    57,232.10x = 85,848.15 × 25,642.10
  4. Step 4: Simplify right side
    57,232.10x = 2,201,326,847.12
  5. Step 5: Solve for x
    x = 2,201,326,847.12/57,232.10
  6. Step 6: Final answer
    x = 38,463.15

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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.