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Finding the Fourth Proportional to 31,853.72, 43,812 and 25,552.28

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Solution

The fourth proportional to 31,853.72, 43,812 and 25,552.28 is: 35,144.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.72 : 43,812 = 25,552.28 : x
  2. Step 2: Convert to fraction form
    31,853.72/43,812 = 25,552.28/x
  3. Step 3: Cross multiply
    31,853.72x = 43,812 × 25,552.28
  4. Step 4: Simplify right side
    31,853.72x = 1,119,496,491.36
  5. Step 5: Solve for x
    x = 1,119,496,491.36/31,853.72
  6. Step 6: Final answer
    x = 35,144.92

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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.