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Finding the Fourth Proportional to 53,493.80, 80,122.32 and 36,586.66

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Solution

The fourth proportional to 53,493.80, 80,122.32 and 36,586.66 is: 54,799.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,493.80 : 80,122.32 = 36,586.66 : x
  2. Step 2: Convert to fraction form
    53,493.80/80,122.32 = 36,586.66/x
  3. Step 3: Cross multiply
    53,493.80x = 80,122.32 × 36,586.66
  4. Step 4: Simplify right side
    53,493.80x = 2,931,408,080.25
  5. Step 5: Solve for x
    x = 2,931,408,080.25/53,493.80
  6. Step 6: Final answer
    x = 54,799.02

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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.