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Finding the Fourth Proportional to 99,952.67, 149,836.74 and 49,989.29

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Solution

The fourth proportional to 99,952.67, 149,836.74 and 49,989.29 is: 74,937.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,952.67 : 149,836.74 = 49,989.29 : x
  2. Step 2: Convert to fraction form
    99,952.67/149,836.74 = 49,989.29/x
  3. Step 3: Cross multiply
    99,952.67x = 149,836.74 × 49,989.29
  4. Step 4: Simplify right side
    99,952.67x = 7,490,231,249.38
  5. Step 5: Solve for x
    x = 7,490,231,249.38/99,952.67
  6. Step 6: Final answer
    x = 74,937.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.