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Finding the Fourth Proportional to 70,098.26, 96,734.26 and 38,267.38

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Solution

The fourth proportional to 70,098.26, 96,734.26 and 38,267.38 is: 52,808.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.26 : 96,734.26 = 38,267.38 : x
  2. Step 2: Convert to fraction form
    70,098.26/96,734.26 = 38,267.38/x
  3. Step 3: Cross multiply
    70,098.26x = 96,734.26 × 38,267.38
  4. Step 4: Simplify right side
    70,098.26x = 3,701,766,686.44
  5. Step 5: Solve for x
    x = 3,701,766,686.44/70,098.26
  6. Step 6: Final answer
    x = 52,808.25

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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.