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Finding the Fourth Proportional to 32,020.85, 48,006.41 and 20,752.38

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Solution

The fourth proportional to 32,020.85, 48,006.41 and 20,752.38 is: 31,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.85 : 48,006.41 = 20,752.38 : x
  2. Step 2: Convert to fraction form
    32,020.85/48,006.41 = 20,752.38/x
  3. Step 3: Cross multiply
    32,020.85x = 48,006.41 × 20,752.38
  4. Step 4: Simplify right side
    32,020.85x = 996,247,262.76
  5. Step 5: Solve for x
    x = 996,247,262.76/32,020.85
  6. Step 6: Final answer
    x = 31,112.46

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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.