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Finding the Fourth Proportional to 32,513.89, 48,774.91 and 11,170.73

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Solution

The fourth proportional to 32,513.89, 48,774.91 and 11,170.73 is: 16,757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,513.89 : 48,774.91 = 11,170.73 : x
  2. Step 2: Convert to fraction form
    32,513.89/48,774.91 = 11,170.73/x
  3. Step 3: Cross multiply
    32,513.89x = 48,774.91 × 11,170.73
  4. Step 4: Simplify right side
    32,513.89x = 544,851,350.38
  5. Step 5: Solve for x
    x = 544,851,350.38/32,513.89
  6. Step 6: Final answer
    x = 16,757.50

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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.