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Finding the Fourth Proportional to 32,823.20, 49,243.60 and 13,115.60

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Solution

The fourth proportional to 32,823.20, 49,243.60 and 13,115.60 is: 19,676.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,823.20 : 49,243.60 = 13,115.60 : x
  2. Step 2: Convert to fraction form
    32,823.20/49,243.60 = 13,115.60/x
  3. Step 3: Cross multiply
    32,823.20x = 49,243.60 × 13,115.60
  4. Step 4: Simplify right side
    32,823.20x = 645,859,360.16
  5. Step 5: Solve for x
    x = 645,859,360.16/32,823.20
  6. Step 6: Final answer
    x = 19,676.92

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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.