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Finding the Fourth Proportional to 132,740.92, 199,130.10 and 49,627

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Solution

The fourth proportional to 132,740.92, 199,130.10 and 49,627 is: 74,447.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,740.92 : 199,130.10 = 49,627 : x
  2. Step 2: Convert to fraction form
    132,740.92/199,130.10 = 49,627/x
  3. Step 3: Cross multiply
    132,740.92x = 199,130.10 × 49,627
  4. Step 4: Simplify right side
    132,740.92x = 9,882,229,472.70
  5. Step 5: Solve for x
    x = 9,882,229,472.70/132,740.92
  6. Step 6: Final answer
    x = 74,447.50

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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.