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Finding the Fourth Proportional to 31,362.32, 43,280.70 and 17,215.22

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Solution

The fourth proportional to 31,362.32, 43,280.70 and 17,215.22 is: 23,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,362.32 : 43,280.70 = 17,215.22 : x
  2. Step 2: Convert to fraction form
    31,362.32/43,280.70 = 17,215.22/x
  3. Step 3: Cross multiply
    31,362.32x = 43,280.70 × 17,215.22
  4. Step 4: Simplify right side
    31,362.32x = 745,086,772.25
  5. Step 5: Solve for x
    x = 745,086,772.25/31,362.32
  6. Step 6: Final answer
    x = 23,757.39

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Why These Related Problems?

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