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Finding the Fourth Proportional to 32,471.60, 48,713.40 and 10,290.56

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Solution

The fourth proportional to 32,471.60, 48,713.40 and 10,290.56 is: 15,437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,471.60 : 48,713.40 = 10,290.56 : x
  2. Step 2: Convert to fraction form
    32,471.60/48,713.40 = 10,290.56/x
  3. Step 3: Cross multiply
    32,471.60x = 48,713.40 × 10,290.56
  4. Step 4: Simplify right side
    32,471.60x = 501,287,921.94
  5. Step 5: Solve for x
    x = 501,287,921.94/32,471.60
  6. Step 6: Final answer
    x = 15,437.74

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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.