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Finding the Fourth Proportional to 96,442.56, 144,686.88 and 40,251.42

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Solution

The fourth proportional to 96,442.56, 144,686.88 and 40,251.42 is: 60,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,442.56 : 144,686.88 = 40,251.42 : x
  2. Step 2: Convert to fraction form
    96,442.56/144,686.88 = 40,251.42/x
  3. Step 3: Cross multiply
    96,442.56x = 144,686.88 × 40,251.42
  4. Step 4: Simplify right side
    96,442.56x = 5,823,852,375.37
  5. Step 5: Solve for x
    x = 5,823,852,375.37/96,442.56
  6. Step 6: Final answer
    x = 60,386.75

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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.