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Finding the Fourth Proportional to 98,524.96, 135,963.60 and 53,812

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Solution

The fourth proportional to 98,524.96, 135,963.60 and 53,812 is: 74,260.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,524.96 : 135,963.60 = 53,812 : x
  2. Step 2: Convert to fraction form
    98,524.96/135,963.60 = 53,812/x
  3. Step 3: Cross multiply
    98,524.96x = 135,963.60 × 53,812
  4. Step 4: Simplify right side
    98,524.96x = 7,316,473,243.20
  5. Step 5: Solve for x
    x = 7,316,473,243.20/98,524.96
  6. Step 6: Final answer
    x = 74,260.10

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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.