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Finding the Fourth Proportional to 97,998.60, 135,229.91 and 54,972.11

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Solution

The fourth proportional to 97,998.60, 135,229.91 and 54,972.11 is: 75,856.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998.60 : 135,229.91 = 54,972.11 : x
  2. Step 2: Convert to fraction form
    97,998.60/135,229.91 = 54,972.11/x
  3. Step 3: Cross multiply
    97,998.60x = 135,229.91 × 54,972.11
  4. Step 4: Simplify right side
    97,998.60x = 7,433,873,551.02
  5. Step 5: Solve for x
    x = 7,433,873,551.02/97,998.60
  6. Step 6: Final answer
    x = 75,856.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.