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Finding the Fourth Proportional to 31,204.92, 43,058.70 and 18,627

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Solution

The fourth proportional to 31,204.92, 43,058.70 and 18,627 is: 25,702.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,204.92 : 43,058.70 = 18,627 : x
  2. Step 2: Convert to fraction form
    31,204.92/43,058.70 = 18,627/x
  3. Step 3: Cross multiply
    31,204.92x = 43,058.70 × 18,627
  4. Step 4: Simplify right side
    31,204.92x = 802,054,404.90
  5. Step 5: Solve for x
    x = 802,054,404.90/31,204.92
  6. Step 6: Final answer
    x = 25,702.82

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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.