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Finding the Fourth Proportional to 69,708, 96,197.49 and 37,876.89

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Solution

The fourth proportional to 69,708, 96,197.49 and 37,876.89 is: 52,270.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,708 : 96,197.49 = 37,876.89 : x
  2. Step 2: Convert to fraction form
    69,708/96,197.49 = 37,876.89/x
  3. Step 3: Cross multiply
    69,708x = 96,197.49 × 37,876.89
  4. Step 4: Simplify right side
    69,708x = 3,643,661,747.01
  5. Step 5: Solve for x
    x = 3,643,661,747.01/69,708
  6. Step 6: Final answer
    x = 52,270.35

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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.