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Finding the Fourth Proportional to 78,517.25, 108,356.03 and 42,709.55

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Solution

The fourth proportional to 78,517.25, 108,356.03 and 42,709.55 is: 58,940.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,517.25 : 108,356.03 = 42,709.55 : x
  2. Step 2: Convert to fraction form
    78,517.25/108,356.03 = 42,709.55/x
  3. Step 3: Cross multiply
    78,517.25x = 108,356.03 × 42,709.55
  4. Step 4: Simplify right side
    78,517.25x = 4,627,836,525.76
  5. Step 5: Solve for x
    x = 4,627,836,525.76/78,517.25
  6. Step 6: Final answer
    x = 58,940.38

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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.