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Finding the Fourth Proportional to 80,829.60, 121,201.20 and 34,029.60

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Solution

The fourth proportional to 80,829.60, 121,201.20 and 34,029.60 is: 51,026.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,829.60 : 121,201.20 = 34,029.60 : x
  2. Step 2: Convert to fraction form
    80,829.60/121,201.20 = 34,029.60/x
  3. Step 3: Cross multiply
    80,829.60x = 121,201.20 × 34,029.60
  4. Step 4: Simplify right side
    80,829.60x = 4,124,428,355.52
  5. Step 5: Solve for x
    x = 4,124,428,355.52/80,829.60
  6. Step 6: Final answer
    x = 51,026.21

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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.