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Finding the Fourth Proportional to 35,847.67, 49,475.98 and 20,748.66

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Solution

The fourth proportional to 35,847.67, 49,475.98 and 20,748.66 is: 28,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,847.67 : 49,475.98 = 20,748.66 : x
  2. Step 2: Convert to fraction form
    35,847.67/49,475.98 = 20,748.66/x
  3. Step 3: Cross multiply
    35,847.67x = 49,475.98 × 20,748.66
  4. Step 4: Simplify right side
    35,847.67x = 1,026,560,040.05
  5. Step 5: Solve for x
    x = 1,026,560,040.05/35,847.67
  6. Step 6: Final answer
    x = 28,636.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.