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Finding the Fourth Proportional to 31,202.14, 43,058.97 and 17,054.98

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Solution

The fourth proportional to 31,202.14, 43,058.97 and 17,054.98 is: 23,535.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,202.14 : 43,058.97 = 17,054.98 : x
  2. Step 2: Convert to fraction form
    31,202.14/43,058.97 = 17,054.98/x
  3. Step 3: Cross multiply
    31,202.14x = 43,058.97 × 17,054.98
  4. Step 4: Simplify right side
    31,202.14x = 734,369,872.17
  5. Step 5: Solve for x
    x = 734,369,872.17/31,202.14
  6. Step 6: Final answer
    x = 23,535.89

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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.