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Finding the Fourth Proportional to 83,844.40, 125,787.84 and 24,682

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Solution

The fourth proportional to 83,844.40, 125,787.84 and 24,682 is: 37,029.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,844.40 : 125,787.84 = 24,682 : x
  2. Step 2: Convert to fraction form
    83,844.40/125,787.84 = 24,682/x
  3. Step 3: Cross multiply
    83,844.40x = 125,787.84 × 24,682
  4. Step 4: Simplify right side
    83,844.40x = 3,104,695,466.88
  5. Step 5: Solve for x
    x = 3,104,695,466.88/83,844.40
  6. Step 6: Final answer
    x = 37,029.25

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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.