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Finding the Fourth Proportional to 121,803.53, 182,692.80 and 33,066

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Solution

The fourth proportional to 121,803.53, 182,692.80 and 33,066 is: 49,595.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,803.53 : 182,692.80 = 33,066 : x
  2. Step 2: Convert to fraction form
    121,803.53/182,692.80 = 33,066/x
  3. Step 3: Cross multiply
    121,803.53x = 182,692.80 × 33,066
  4. Step 4: Simplify right side
    121,803.53x = 6,040,920,124.80
  5. Step 5: Solve for x
    x = 6,040,920,124.80/121,803.53
  6. Step 6: Final answer
    x = 49,595.61

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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.