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Finding the Fourth Proportional to 83,858.74, 115,723.16 and 48,069.84

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Solution

The fourth proportional to 83,858.74, 115,723.16 and 48,069.84 is: 66,335.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,858.74 : 115,723.16 = 48,069.84 : x
  2. Step 2: Convert to fraction form
    83,858.74/115,723.16 = 48,069.84/x
  3. Step 3: Cross multiply
    83,858.74x = 115,723.16 × 48,069.84
  4. Step 4: Simplify right side
    83,858.74x = 5,562,793,785.49
  5. Step 5: Solve for x
    x = 5,562,793,785.49/83,858.74
  6. Step 6: Final answer
    x = 66,335.29

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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.