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Finding the Fourth Proportional to 132,963.78, 199,445.04 and 33,123.54

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Solution

The fourth proportional to 132,963.78, 199,445.04 and 33,123.54 is: 49,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,963.78 : 199,445.04 = 33,123.54 : x
  2. Step 2: Convert to fraction form
    132,963.78/199,445.04 = 33,123.54/x
  3. Step 3: Cross multiply
    132,963.78x = 199,445.04 × 33,123.54
  4. Step 4: Simplify right side
    132,963.78x = 6,606,325,760.24
  5. Step 5: Solve for x
    x = 6,606,325,760.24/132,963.78
  6. Step 6: Final answer
    x = 49,685.15

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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.