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Finding the Fourth Proportional to 78,042.19, 107,697.39 and 42,231.40

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Solution

The fourth proportional to 78,042.19, 107,697.39 and 42,231.40 is: 58,278.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,042.19 : 107,697.39 = 42,231.40 : x
  2. Step 2: Convert to fraction form
    78,042.19/107,697.39 = 42,231.40/x
  3. Step 3: Cross multiply
    78,042.19x = 107,697.39 × 42,231.40
  4. Step 4: Simplify right side
    78,042.19x = 4,548,211,556.05
  5. Step 5: Solve for x
    x = 4,548,211,556.05/78,042.19
  6. Step 6: Final answer
    x = 58,278.88

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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.