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Finding the Fourth Proportional to 83,793.36, 125,665.68 and 24,618

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Solution

The fourth proportional to 83,793.36, 125,665.68 and 24,618 is: 36,919.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,793.36 : 125,665.68 = 24,618 : x
  2. Step 2: Convert to fraction form
    83,793.36/125,665.68 = 24,618/x
  3. Step 3: Cross multiply
    83,793.36x = 125,665.68 × 24,618
  4. Step 4: Simplify right side
    83,793.36x = 3,093,637,710.24
  5. Step 5: Solve for x
    x = 3,093,637,710.24/83,793.36
  6. Step 6: Final answer
    x = 36,919.84

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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.