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Finding the Fourth Proportional to 32,114.31, 48,131.34 and 15,471.24

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Solution

The fourth proportional to 32,114.31, 48,131.34 and 15,471.24 is: 23,187.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,114.31 : 48,131.34 = 15,471.24 : x
  2. Step 2: Convert to fraction form
    32,114.31/48,131.34 = 15,471.24/x
  3. Step 3: Cross multiply
    32,114.31x = 48,131.34 × 15,471.24
  4. Step 4: Simplify right side
    32,114.31x = 744,651,272.00
  5. Step 5: Solve for x
    x = 744,651,272.00/32,114.31
  6. Step 6: Final answer
    x = 23,187.53

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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.