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Finding the Fourth Proportional to 70,265.97, 96,964.16 and 38,436.21

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Solution

The fourth proportional to 70,265.97, 96,964.16 and 38,436.21 is: 53,040.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,265.97 : 96,964.16 = 38,436.21 : x
  2. Step 2: Convert to fraction form
    70,265.97/96,964.16 = 38,436.21/x
  3. Step 3: Cross multiply
    70,265.97x = 96,964.16 × 38,436.21
  4. Step 4: Simplify right side
    70,265.97x = 3,726,934,624.05
  5. Step 5: Solve for x
    x = 3,726,934,624.05/70,265.97
  6. Step 6: Final answer
    x = 53,040.39

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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.