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Finding the Fourth Proportional to 83,202.88, 114,827.92 and 45,482.80

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Solution

The fourth proportional to 83,202.88, 114,827.92 and 45,482.80 is: 62,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,202.88 : 114,827.92 = 45,482.80 : x
  2. Step 2: Convert to fraction form
    83,202.88/114,827.92 = 45,482.80/x
  3. Step 3: Cross multiply
    83,202.88x = 114,827.92 × 45,482.80
  4. Step 4: Simplify right side
    83,202.88x = 5,222,695,319.78
  5. Step 5: Solve for x
    x = 5,222,695,319.78/83,202.88
  6. Step 6: Final answer
    x = 62,770.61

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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.