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Finding the Fourth Proportional to 32,522.44, 48,739.92 and 23,716.12

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Solution

The fourth proportional to 32,522.44, 48,739.92 and 23,716.12 is: 35,542.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,522.44 : 48,739.92 = 23,716.12 : x
  2. Step 2: Convert to fraction form
    32,522.44/48,739.92 = 23,716.12/x
  3. Step 3: Cross multiply
    32,522.44x = 48,739.92 × 23,716.12
  4. Step 4: Simplify right side
    32,522.44x = 1,155,921,791.51
  5. Step 5: Solve for x
    x = 1,155,921,791.51/32,522.44
  6. Step 6: Final answer
    x = 35,542.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.