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Finding the Fourth Proportional to 29,475.50, 40,676.34 and 16,046.74

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Solution

The fourth proportional to 29,475.50, 40,676.34 and 16,046.74 is: 22,144.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,475.50 : 40,676.34 = 16,046.74 : x
  2. Step 2: Convert to fraction form
    29,475.50/40,676.34 = 16,046.74/x
  3. Step 3: Cross multiply
    29,475.50x = 40,676.34 × 16,046.74
  4. Step 4: Simplify right side
    29,475.50x = 652,722,763.15
  5. Step 5: Solve for x
    x = 652,722,763.15/29,475.50
  6. Step 6: Final answer
    x = 22,144.59

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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.