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Finding the Fourth Proportional to 70,118.78, 96,760.17 and 38,281.46

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Solution

The fourth proportional to 70,118.78, 96,760.17 and 38,281.46 is: 52,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,118.78 : 96,760.17 = 38,281.46 : x
  2. Step 2: Convert to fraction form
    70,118.78/96,760.17 = 38,281.46/x
  3. Step 3: Cross multiply
    70,118.78x = 96,760.17 × 38,281.46
  4. Step 4: Simplify right side
    70,118.78x = 3,704,120,093.65
  5. Step 5: Solve for x
    x = 3,704,120,093.65/70,118.78
  6. Step 6: Final answer
    x = 52,826.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.