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Finding the Fourth Proportional to 57,232.12, 85,779.06 and 24,331

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Solution

The fourth proportional to 57,232.12, 85,779.06 and 24,331 is: 36,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,232.12 : 85,779.06 = 24,331 : x
  2. Step 2: Convert to fraction form
    57,232.12/85,779.06 = 24,331/x
  3. Step 3: Cross multiply
    57,232.12x = 85,779.06 × 24,331
  4. Step 4: Simplify right side
    57,232.12x = 2,087,090,308.86
  5. Step 5: Solve for x
    x = 2,087,090,308.86/57,232.12
  6. Step 6: Final answer
    x = 36,467.12

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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.