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Finding the Fourth Proportional to 78,388.43, 108,176.63 and 42,578.44

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Solution

The fourth proportional to 78,388.43, 108,176.63 and 42,578.44 is: 58,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,388.43 : 108,176.63 = 42,578.44 : x
  2. Step 2: Convert to fraction form
    78,388.43/108,176.63 = 42,578.44/x
  3. Step 3: Cross multiply
    78,388.43x = 108,176.63 × 42,578.44
  4. Step 4: Simplify right side
    78,388.43x = 4,605,991,396.08
  5. Step 5: Solve for x
    x = 4,605,991,396.08/78,388.43
  6. Step 6: Final answer
    x = 58,758.56

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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.