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Finding the Fourth Proportional to 83,852.85, 115,704 and 49,860.66

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Solution

The fourth proportional to 83,852.85, 115,704 and 49,860.66 is: 68,800.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,852.85 : 115,704 = 49,860.66 : x
  2. Step 2: Convert to fraction form
    83,852.85/115,704 = 49,860.66/x
  3. Step 3: Cross multiply
    83,852.85x = 115,704 × 49,860.66
  4. Step 4: Simplify right side
    83,852.85x = 5,769,077,804.64
  5. Step 5: Solve for x
    x = 5,769,077,804.64/83,852.85
  6. Step 6: Final answer
    x = 68,800.02

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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.