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Finding the Fourth Proportional to 83,448.92, 125,173.62 and 24,286

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Solution

The fourth proportional to 83,448.92, 125,173.62 and 24,286 is: 36,429.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,448.92 : 125,173.62 = 24,286 : x
  2. Step 2: Convert to fraction form
    83,448.92/125,173.62 = 24,286/x
  3. Step 3: Cross multiply
    83,448.92x = 125,173.62 × 24,286
  4. Step 4: Simplify right side
    83,448.92x = 3,039,966,535.32
  5. Step 5: Solve for x
    x = 3,039,966,535.32/83,448.92
  6. Step 6: Final answer
    x = 36,429.07

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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.