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Finding the Fourth Proportional to 54,096.16, 74,644 and 30,221.60

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Solution

The fourth proportional to 54,096.16, 74,644 and 30,221.60 is: 41,700.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,096.16 : 74,644 = 30,221.60 : x
  2. Step 2: Convert to fraction form
    54,096.16/74,644 = 30,221.60/x
  3. Step 3: Cross multiply
    54,096.16x = 74,644 × 30,221.60
  4. Step 4: Simplify right side
    54,096.16x = 2,255,861,110.40
  5. Step 5: Solve for x
    x = 2,255,861,110.40/54,096.16
  6. Step 6: Final answer
    x = 41,700.95

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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.