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Finding the Fourth Proportional to 132,959.82, 199,381.26 and 49,795.50

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Solution

The fourth proportional to 132,959.82, 199,381.26 and 49,795.50 is: 74,671.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,959.82 : 199,381.26 = 49,795.50 : x
  2. Step 2: Convert to fraction form
    132,959.82/199,381.26 = 49,795.50/x
  3. Step 3: Cross multiply
    132,959.82x = 199,381.26 × 49,795.50
  4. Step 4: Simplify right side
    132,959.82x = 9,928,289,532.33
  5. Step 5: Solve for x
    x = 9,928,289,532.33/132,959.82
  6. Step 6: Final answer
    x = 74,671.35

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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.