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Finding the Fourth Proportional to 35,013.25, 48,318.29 and 22,438

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Solution

The fourth proportional to 35,013.25, 48,318.29 and 22,438 is: 30,964.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,013.25 : 48,318.29 = 22,438 : x
  2. Step 2: Convert to fraction form
    35,013.25/48,318.29 = 22,438/x
  3. Step 3: Cross multiply
    35,013.25x = 48,318.29 × 22,438
  4. Step 4: Simplify right side
    35,013.25x = 1,084,165,791.02
  5. Step 5: Solve for x
    x = 1,084,165,791.02/35,013.25
  6. Step 6: Final answer
    x = 30,964.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.