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Finding the Fourth Proportional to 31,204.32, 43,062.88 and 17,058

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Solution

The fourth proportional to 31,204.32, 43,062.88 and 17,058 is: 23,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.32 : 43,062.88 = 17,058 : x
  2. Step 2: Convert to fraction form
    31,204.32/43,062.88 = 17,058/x
  3. Step 3: Cross multiply
    31,204.32x = 43,062.88 × 17,058
  4. Step 4: Simplify right side
    31,204.32x = 734,566,607.04
  5. Step 5: Solve for x
    x = 734,566,607.04/31,204.32
  6. Step 6: Final answer
    x = 23,540.54

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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.