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Finding the Fourth Proportional to 32,122.80, 48,227.40 and 20,458.80

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Solution

The fourth proportional to 32,122.80, 48,227.40 and 20,458.80 is: 30,715.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,122.80 : 48,227.40 = 20,458.80 : x
  2. Step 2: Convert to fraction form
    32,122.80/48,227.40 = 20,458.80/x
  3. Step 3: Cross multiply
    32,122.80x = 48,227.40 × 20,458.80
  4. Step 4: Simplify right side
    32,122.80x = 986,674,731.12
  5. Step 5: Solve for x
    x = 986,674,731.12/32,122.80
  6. Step 6: Final answer
    x = 30,715.71

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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.