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Finding the Fourth Proportional to 54,314.57, 74,957.17 and 30,442.76

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Solution

The fourth proportional to 54,314.57, 74,957.17 and 30,442.76 is: 42,012.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,314.57 : 74,957.17 = 30,442.76 : x
  2. Step 2: Convert to fraction form
    54,314.57/74,957.17 = 30,442.76/x
  3. Step 3: Cross multiply
    54,314.57x = 74,957.17 × 30,442.76
  4. Step 4: Simplify right side
    54,314.57x = 2,281,903,136.59
  5. Step 5: Solve for x
    x = 2,281,903,136.59/54,314.57
  6. Step 6: Final answer
    x = 42,012.73

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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.