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Finding the Fourth Proportional to 81,770.80, 112,842.36 and 45,470.80

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Solution

The fourth proportional to 81,770.80, 112,842.36 and 45,470.80 is: 62,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,770.80 : 112,842.36 = 45,470.80 : x
  2. Step 2: Convert to fraction form
    81,770.80/112,842.36 = 45,470.80/x
  3. Step 3: Cross multiply
    81,770.80x = 112,842.36 × 45,470.80
  4. Step 4: Simplify right side
    81,770.80x = 5,131,032,383.09
  5. Step 5: Solve for x
    x = 5,131,032,383.09/81,770.80
  6. Step 6: Final answer
    x = 62,748.96

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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.