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Finding the Fourth Proportional to 31,205.40, 43,058.42 and 17,776.92

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Solution

The fourth proportional to 31,205.40, 43,058.42 and 17,776.92 is: 24,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,205.40 : 43,058.42 = 17,776.92 : x
  2. Step 2: Convert to fraction form
    31,205.40/43,058.42 = 17,776.92/x
  3. Step 3: Cross multiply
    31,205.40x = 43,058.42 × 17,776.92
  4. Step 4: Simplify right side
    31,205.40x = 765,446,087.67
  5. Step 5: Solve for x
    x = 765,446,087.67/31,205.40
  6. Step 6: Final answer
    x = 24,529.28

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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.