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Finding the Fourth Proportional to 43,218.24, 64,827.36 and 22,398

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Solution

The fourth proportional to 43,218.24, 64,827.36 and 22,398 is: 33,597

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,218.24 : 64,827.36 = 22,398 : x
  2. Step 2: Convert to fraction form
    43,218.24/64,827.36 = 22,398/x
  3. Step 3: Cross multiply
    43,218.24x = 64,827.36 × 22,398
  4. Step 4: Simplify right side
    43,218.24x = 1,452,003,209.28
  5. Step 5: Solve for x
    x = 1,452,003,209.28/43,218.24
  6. Step 6: Final answer
    x = 33,597

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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.