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Finding the Fourth Proportional to 78,085.44, 107,757.16 and 42,274.52

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Solution

The fourth proportional to 78,085.44, 107,757.16 and 42,274.52 is: 58,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,085.44 : 107,757.16 = 42,274.52 : x
  2. Step 2: Convert to fraction form
    78,085.44/107,757.16 = 42,274.52/x
  3. Step 3: Cross multiply
    78,085.44x = 107,757.16 × 42,274.52
  4. Step 4: Simplify right side
    78,085.44x = 4,555,382,215.56
  5. Step 5: Solve for x
    x = 4,555,382,215.56/78,085.44
  6. Step 6: Final answer
    x = 58,338.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.