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Finding the Fourth Proportional to 71,256.60, 106,769.70 and 44,914.20

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Solution

The fourth proportional to 71,256.60, 106,769.70 and 44,914.20 is: 67,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,256.60 : 106,769.70 = 44,914.20 : x
  2. Step 2: Convert to fraction form
    71,256.60/106,769.70 = 44,914.20/x
  3. Step 3: Cross multiply
    71,256.60x = 106,769.70 × 44,914.20
  4. Step 4: Simplify right side
    71,256.60x = 4,795,475,659.74
  5. Step 5: Solve for x
    x = 4,795,475,659.74/71,256.60
  6. Step 6: Final answer
    x = 67,298.69

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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.