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Finding the Fourth Proportional to 96,471.20, 133,122.96 and 54,020

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Solution

The fourth proportional to 96,471.20, 133,122.96 and 54,020 is: 74,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,471.20 : 133,122.96 = 54,020 : x
  2. Step 2: Convert to fraction form
    96,471.20/133,122.96 = 54,020/x
  3. Step 3: Cross multiply
    96,471.20x = 133,122.96 × 54,020
  4. Step 4: Simplify right side
    96,471.20x = 7,191,302,299.20
  5. Step 5: Solve for x
    x = 7,191,302,299.20/96,471.20
  6. Step 6: Final answer
    x = 74,543.51

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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.