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Finding the Fourth Proportional to 40,954.32, 61,377.84 and 39,924

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Solution

The fourth proportional to 40,954.32, 61,377.84 and 39,924 is: 59,833.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,954.32 : 61,377.84 = 39,924 : x
  2. Step 2: Convert to fraction form
    40,954.32/61,377.84 = 39,924/x
  3. Step 3: Cross multiply
    40,954.32x = 61,377.84 × 39,924
  4. Step 4: Simplify right side
    40,954.32x = 2,450,448,884.16
  5. Step 5: Solve for x
    x = 2,450,448,884.16/40,954.32
  6. Step 6: Final answer
    x = 59,833.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.