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Finding the Fourth Proportional to 83,950.92, 115,857.12 and 48,140.64

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Solution

The fourth proportional to 83,950.92, 115,857.12 and 48,140.64 is: 66,436.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,950.92 : 115,857.12 = 48,140.64 : x
  2. Step 2: Convert to fraction form
    83,950.92/115,857.12 = 48,140.64/x
  3. Step 3: Cross multiply
    83,950.92x = 115,857.12 × 48,140.64
  4. Step 4: Simplify right side
    83,950.92x = 5,577,435,905.36
  5. Step 5: Solve for x
    x = 5,577,435,905.36/83,950.92
  6. Step 6: Final answer
    x = 66,436.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.