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Finding the Fourth Proportional to 69,781.29, 96,297.12 and 37,949.46

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Solution

The fourth proportional to 69,781.29, 96,297.12 and 37,949.46 is: 52,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,781.29 : 96,297.12 = 37,949.46 : x
  2. Step 2: Convert to fraction form
    69,781.29/96,297.12 = 37,949.46/x
  3. Step 3: Cross multiply
    69,781.29x = 96,297.12 × 37,949.46
  4. Step 4: Simplify right side
    69,781.29x = 3,654,423,703.56
  5. Step 5: Solve for x
    x = 3,654,423,703.56/69,781.29
  6. Step 6: Final answer
    x = 52,369.68

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1.5x scale

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.