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Finding the Fourth Proportional to 32,375.70, 48,537.36 and 13,643.64

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Solution

The fourth proportional to 32,375.70, 48,537.36 and 13,643.64 is: 20,454.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,375.70 : 48,537.36 = 13,643.64 : x
  2. Step 2: Convert to fraction form
    32,375.70/48,537.36 = 13,643.64/x
  3. Step 3: Cross multiply
    32,375.70x = 48,537.36 × 13,643.64
  4. Step 4: Simplify right side
    32,375.70x = 662,226,266.39
  5. Step 5: Solve for x
    x = 662,226,266.39/32,375.70
  6. Step 6: Final answer
    x = 20,454.42

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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.