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Finding the Fourth Proportional to 78,161.60, 107,863.44 and 42,351.64

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Solution

The fourth proportional to 78,161.60, 107,863.44 and 42,351.64 is: 58,445.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,161.60 : 107,863.44 = 42,351.64 : x
  2. Step 2: Convert to fraction form
    78,161.60/107,863.44 = 42,351.64/x
  3. Step 3: Cross multiply
    78,161.60x = 107,863.44 × 42,351.64
  4. Step 4: Simplify right side
    78,161.60x = 4,568,193,580.04
  5. Step 5: Solve for x
    x = 4,568,193,580.04/78,161.60
  6. Step 6: Final answer
    x = 58,445.50

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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.