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Finding the Fourth Proportional to 32,422.65, 48,648.26 and 13,715.60

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Solution

The fourth proportional to 32,422.65, 48,648.26 and 13,715.60 is: 20,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,422.65 : 48,648.26 = 13,715.60 : x
  2. Step 2: Convert to fraction form
    32,422.65/48,648.26 = 13,715.60/x
  3. Step 3: Cross multiply
    32,422.65x = 48,648.26 × 13,715.60
  4. Step 4: Simplify right side
    32,422.65x = 667,239,865.90
  5. Step 5: Solve for x
    x = 667,239,865.90/32,422.65
  6. Step 6: Final answer
    x = 20,579.44

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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.