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Finding the Fourth Proportional to 57,171.04, 78,895.92 and 32,020

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Solution

The fourth proportional to 57,171.04, 78,895.92 and 32,020 is: 44,187.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,171.04 : 78,895.92 = 32,020 : x
  2. Step 2: Convert to fraction form
    57,171.04/78,895.92 = 32,020/x
  3. Step 3: Cross multiply
    57,171.04x = 78,895.92 × 32,020
  4. Step 4: Simplify right side
    57,171.04x = 2,526,247,358.40
  5. Step 5: Solve for x
    x = 2,526,247,358.40/57,171.04
  6. Step 6: Final answer
    x = 44,187.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.