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Finding the Fourth Proportional to 83,163.92, 124,776.86 and 49,907.84

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Solution

The fourth proportional to 83,163.92, 124,776.86 and 49,907.84 is: 74,880.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,163.92 : 124,776.86 = 49,907.84 : x
  2. Step 2: Convert to fraction form
    83,163.92/124,776.86 = 49,907.84/x
  3. Step 3: Cross multiply
    83,163.92x = 124,776.86 × 49,907.84
  4. Step 4: Simplify right side
    83,163.92x = 6,227,342,691.16
  5. Step 5: Solve for x
    x = 6,227,342,691.16/83,163.92
  6. Step 6: Final answer
    x = 74,880.35

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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.