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Finding the Fourth Proportional to 100,589.14, 138,812.46 and 54,648.40

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Solution

The fourth proportional to 100,589.14, 138,812.46 and 54,648.40 is: 75,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589.14 : 138,812.46 = 54,648.40 : x
  2. Step 2: Convert to fraction form
    100,589.14/138,812.46 = 54,648.40/x
  3. Step 3: Cross multiply
    100,589.14x = 138,812.46 × 54,648.40
  4. Step 4: Simplify right side
    100,589.14x = 7,585,878,839.06
  5. Step 5: Solve for x
    x = 7,585,878,839.06/100,589.14
  6. Step 6: Final answer
    x = 75,414.49

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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.