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Finding the Fourth Proportional to 78,695.62, 108,596.78 and 42,884.86

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Solution

The fourth proportional to 78,695.62, 108,596.78 and 42,884.86 is: 59,179.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,695.62 : 108,596.78 = 42,884.86 : x
  2. Step 2: Convert to fraction form
    78,695.62/108,596.78 = 42,884.86/x
  3. Step 3: Cross multiply
    78,695.62x = 108,596.78 × 42,884.86
  4. Step 4: Simplify right side
    78,695.62x = 4,657,157,706.75
  5. Step 5: Solve for x
    x = 4,657,157,706.75/78,695.62
  6. Step 6: Final answer
    x = 59,179.38

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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.