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Finding the Fourth Proportional to 30,700.24, 42,395.20 and 29,043.52

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Solution

The fourth proportional to 30,700.24, 42,395.20 and 29,043.52 is: 40,107.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,700.24 : 42,395.20 = 29,043.52 : x
  2. Step 2: Convert to fraction form
    30,700.24/42,395.20 = 29,043.52/x
  3. Step 3: Cross multiply
    30,700.24x = 42,395.20 × 29,043.52
  4. Step 4: Simplify right side
    30,700.24x = 1,231,305,839.10
  5. Step 5: Solve for x
    x = 1,231,305,839.10/30,700.24
  6. Step 6: Final answer
    x = 40,107.37

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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.