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Finding the Fourth Proportional to 78,568.80, 117,842.13 and 41,116.56

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Solution

The fourth proportional to 78,568.80, 117,842.13 and 41,116.56 is: 61,669.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,568.80 : 117,842.13 = 41,116.56 : x
  2. Step 2: Convert to fraction form
    78,568.80/117,842.13 = 41,116.56/x
  3. Step 3: Cross multiply
    78,568.80x = 117,842.13 × 41,116.56
  4. Step 4: Simplify right side
    78,568.80x = 4,845,263,008.67
  5. Step 5: Solve for x
    x = 4,845,263,008.67/78,568.80
  6. Step 6: Final answer
    x = 61,669.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.