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Finding the Fourth Proportional to 83,699.33, 115,530.66 and 49,713.35

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Solution

The fourth proportional to 83,699.33, 115,530.66 and 49,713.35 is: 68,619.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,699.33 : 115,530.66 = 49,713.35 : x
  2. Step 2: Convert to fraction form
    83,699.33/115,530.66 = 49,713.35/x
  3. Step 3: Cross multiply
    83,699.33x = 115,530.66 × 49,713.35
  4. Step 4: Simplify right side
    83,699.33x = 5,743,415,558.66
  5. Step 5: Solve for x
    x = 5,743,415,558.66/83,699.33
  6. Step 6: Final answer
    x = 68,619.62

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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.