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Finding the Fourth Proportional to 32,559.90, 48,815.55 and 13,824.60

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Solution

The fourth proportional to 32,559.90, 48,815.55 and 13,824.60 is: 20,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,559.90 : 48,815.55 = 13,824.60 : x
  2. Step 2: Convert to fraction form
    32,559.90/48,815.55 = 13,824.60/x
  3. Step 3: Cross multiply
    32,559.90x = 48,815.55 × 13,824.60
  4. Step 4: Simplify right side
    32,559.90x = 674,855,452.53
  5. Step 5: Solve for x
    x = 674,855,452.53/32,559.90
  6. Step 6: Final answer
    x = 20,726.58

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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.