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Finding the Fourth Proportional to 38,131.72, 52,576.02 and 32,817.40

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Solution

The fourth proportional to 38,131.72, 52,576.02 and 32,817.40 is: 45,248.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,131.72 : 52,576.02 = 32,817.40 : x
  2. Step 2: Convert to fraction form
    38,131.72/52,576.02 = 32,817.40/x
  3. Step 3: Cross multiply
    38,131.72x = 52,576.02 × 32,817.40
  4. Step 4: Simplify right side
    38,131.72x = 1,725,408,278.75
  5. Step 5: Solve for x
    x = 1,725,408,278.75/38,131.72
  6. Step 6: Final answer
    x = 45,248.63

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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.