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Finding the Fourth Proportional to 32,702.48, 49,056.60 and 10,517.84

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Solution

The fourth proportional to 32,702.48, 49,056.60 and 10,517.84 is: 15,777.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,702.48 : 49,056.60 = 10,517.84 : x
  2. Step 2: Convert to fraction form
    32,702.48/49,056.60 = 10,517.84/x
  3. Step 3: Cross multiply
    32,702.48x = 49,056.60 × 10,517.84
  4. Step 4: Simplify right side
    32,702.48x = 515,969,469.74
  5. Step 5: Solve for x
    x = 515,969,469.74/32,702.48
  6. Step 6: Final answer
    x = 15,777.69

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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.