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Finding the Fourth Proportional to 32,453.01, 48,656.49 and 14,431.38

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Solution

The fourth proportional to 32,453.01, 48,656.49 and 14,431.38 is: 21,636.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,453.01 : 48,656.49 = 14,431.38 : x
  2. Step 2: Convert to fraction form
    32,453.01/48,656.49 = 14,431.38/x
  3. Step 3: Cross multiply
    32,453.01x = 48,656.49 × 14,431.38
  4. Step 4: Simplify right side
    32,453.01x = 702,180,296.66
  5. Step 5: Solve for x
    x = 702,180,296.66/32,453.01
  6. Step 6: Final answer
    x = 21,636.83

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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.