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Finding the Fourth Proportional to 39,434.63, 54,424.56 and 22,443

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Solution

The fourth proportional to 39,434.63, 54,424.56 and 22,443 is: 30,974.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,434.63 : 54,424.56 = 22,443 : x
  2. Step 2: Convert to fraction form
    39,434.63/54,424.56 = 22,443/x
  3. Step 3: Cross multiply
    39,434.63x = 54,424.56 × 22,443
  4. Step 4: Simplify right side
    39,434.63x = 1,221,450,400.08
  5. Step 5: Solve for x
    x = 1,221,450,400.08/39,434.63
  6. Step 6: Final answer
    x = 30,974.06

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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.