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Finding the Fourth Proportional to 83,251.84, 124,870.74 and 35,865.04

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Solution

The fourth proportional to 83,251.84, 124,870.74 and 35,865.04 is: 53,794.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,251.84 : 124,870.74 = 35,865.04 : x
  2. Step 2: Convert to fraction form
    83,251.84/124,870.74 = 35,865.04/x
  3. Step 3: Cross multiply
    83,251.84x = 124,870.74 × 35,865.04
  4. Step 4: Simplify right side
    83,251.84x = 4,478,494,084.93
  5. Step 5: Solve for x
    x = 4,478,494,084.93/83,251.84
  6. Step 6: Final answer
    x = 53,794.54

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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.