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Finding the Fourth Proportional to 121,766.70, 182,649.60 and 33,019.98

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Solution

The fourth proportional to 121,766.70, 182,649.60 and 33,019.98 is: 49,529.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,766.70 : 182,649.60 = 33,019.98 : x
  2. Step 2: Convert to fraction form
    121,766.70/182,649.60 = 33,019.98/x
  3. Step 3: Cross multiply
    121,766.70x = 182,649.60 × 33,019.98
  4. Step 4: Simplify right side
    121,766.70x = 6,031,086,139.01
  5. Step 5: Solve for x
    x = 6,031,086,139.01/121,766.70
  6. Step 6: Final answer
    x = 49,529.85

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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.