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Finding the Fourth Proportional to 32,961.30, 49,436.88 and 10,774.80

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Solution

The fourth proportional to 32,961.30, 49,436.88 and 10,774.80 is: 16,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.30 : 49,436.88 = 10,774.80 : x
  2. Step 2: Convert to fraction form
    32,961.30/49,436.88 = 10,774.80/x
  3. Step 3: Cross multiply
    32,961.30x = 49,436.88 × 10,774.80
  4. Step 4: Simplify right side
    32,961.30x = 532,672,494.62
  5. Step 5: Solve for x
    x = 532,672,494.62/32,961.30
  6. Step 6: Final answer
    x = 16,160.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.