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Finding the Fourth Proportional to 76,671.56, 115,012.92 and 24,080.60

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Solution

The fourth proportional to 76,671.56, 115,012.92 and 24,080.60 is: 36,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,671.56 : 115,012.92 = 24,080.60 : x
  2. Step 2: Convert to fraction form
    76,671.56/115,012.92 = 24,080.60/x
  3. Step 3: Cross multiply
    76,671.56x = 115,012.92 × 24,080.60
  4. Step 4: Simplify right side
    76,671.56x = 2,769,580,121.35
  5. Step 5: Solve for x
    x = 2,769,580,121.35/76,671.56
  6. Step 6: Final answer
    x = 36,122.65

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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.