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Finding the Fourth Proportional to 80,789.22, 121,129.15 and 28,170

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Solution

The fourth proportional to 80,789.22, 121,129.15 and 28,170 is: 42,235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,789.22 : 121,129.15 = 28,170 : x
  2. Step 2: Convert to fraction form
    80,789.22/121,129.15 = 28,170/x
  3. Step 3: Cross multiply
    80,789.22x = 121,129.15 × 28,170
  4. Step 4: Simplify right side
    80,789.22x = 3,412,208,155.50
  5. Step 5: Solve for x
    x = 3,412,208,155.50/80,789.22
  6. Step 6: Final answer
    x = 42,235.93

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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.