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Finding the Fourth Proportional to 31,705.34, 43,713.57 and 20,354.78

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Solution

The fourth proportional to 31,705.34, 43,713.57 and 20,354.78 is: 28,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,705.34 : 43,713.57 = 20,354.78 : x
  2. Step 2: Convert to fraction form
    31,705.34/43,713.57 = 20,354.78/x
  3. Step 3: Cross multiply
    31,705.34x = 43,713.57 × 20,354.78
  4. Step 4: Simplify right side
    31,705.34x = 889,780,100.36
  5. Step 5: Solve for x
    x = 889,780,100.36/31,705.34
  6. Step 6: Final answer
    x = 28,064.05

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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.