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Finding the Fourth Proportional to 54,870, 75,720.60 and 29,719.50

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Solution

The fourth proportional to 54,870, 75,720.60 and 29,719.50 is: 41,012.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,870 : 75,720.60 = 29,719.50 : x
  2. Step 2: Convert to fraction form
    54,870/75,720.60 = 29,719.50/x
  3. Step 3: Cross multiply
    54,870x = 75,720.60 × 29,719.50
  4. Step 4: Simplify right side
    54,870x = 2,250,378,371.70
  5. Step 5: Solve for x
    x = 2,250,378,371.70/54,870
  6. Step 6: Final answer
    x = 41,012.91

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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.