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Finding the Fourth Proportional to 78,604.60, 117,832.78 and 39,124.39

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Solution

The fourth proportional to 78,604.60, 117,832.78 and 39,124.39 is: 58,649.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,604.60 : 117,832.78 = 39,124.39 : x
  2. Step 2: Convert to fraction form
    78,604.60/117,832.78 = 39,124.39/x
  3. Step 3: Cross multiply
    78,604.60x = 117,832.78 × 39,124.39
  4. Step 4: Simplify right side
    78,604.60x = 4,610,135,639.50
  5. Step 5: Solve for x
    x = 4,610,135,639.50/78,604.60
  6. Step 6: Final answer
    x = 58,649.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.