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Finding the Fourth Proportional to 32,443.50, 48,672.54 and 11,667

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Solution

The fourth proportional to 32,443.50, 48,672.54 and 11,667 is: 17,503.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.50 : 48,672.54 = 11,667 : x
  2. Step 2: Convert to fraction form
    32,443.50/48,672.54 = 11,667/x
  3. Step 3: Cross multiply
    32,443.50x = 48,672.54 × 11,667
  4. Step 4: Simplify right side
    32,443.50x = 567,862,524.18
  5. Step 5: Solve for x
    x = 567,862,524.18/32,443.50
  6. Step 6: Final answer
    x = 17,503.12

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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.