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Finding the Fourth Proportional to 49,124.60, 73,692.30 and 17,966.60

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Solution

The fourth proportional to 49,124.60, 73,692.30 and 17,966.60 is: 26,951.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,124.60 : 73,692.30 = 17,966.60 : x
  2. Step 2: Convert to fraction form
    49,124.60/73,692.30 = 17,966.60/x
  3. Step 3: Cross multiply
    49,124.60x = 73,692.30 × 17,966.60
  4. Step 4: Simplify right side
    49,124.60x = 1,324,000,077.18
  5. Step 5: Solve for x
    x = 1,324,000,077.18/49,124.60
  6. Step 6: Final answer
    x = 26,951.87

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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.