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Finding the Fourth Proportional to 43,149.24, 64,636.38 and 22,329

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Solution

The fourth proportional to 43,149.24, 64,636.38 and 22,329 is: 33,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,149.24 : 64,636.38 = 22,329 : x
  2. Step 2: Convert to fraction form
    43,149.24/64,636.38 = 22,329/x
  3. Step 3: Cross multiply
    43,149.24x = 64,636.38 × 22,329
  4. Step 4: Simplify right side
    43,149.24x = 1,443,265,729.02
  5. Step 5: Solve for x
    x = 1,443,265,729.02/43,149.24
  6. Step 6: Final answer
    x = 33,448.23

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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.