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Finding the Fourth Proportional to 31,853.07, 43,958.70 and 17,705.07

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Solution

The fourth proportional to 31,853.07, 43,958.70 and 17,705.07 is: 24,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.07 : 43,958.70 = 17,705.07 : x
  2. Step 2: Convert to fraction form
    31,853.07/43,958.70 = 17,705.07/x
  3. Step 3: Cross multiply
    31,853.07x = 43,958.70 × 17,705.07
  4. Step 4: Simplify right side
    31,853.07x = 778,291,860.61
  5. Step 5: Solve for x
    x = 778,291,860.61/31,853.07
  6. Step 6: Final answer
    x = 24,433.81

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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.