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Finding the Fourth Proportional to 31,754.15, 43,840.52 and 20,443.23

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Solution

The fourth proportional to 31,754.15, 43,840.52 and 20,443.23 is: 28,224.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,754.15 : 43,840.52 = 20,443.23 : x
  2. Step 2: Convert to fraction form
    31,754.15/43,840.52 = 20,443.23/x
  3. Step 3: Cross multiply
    31,754.15x = 43,840.52 × 20,443.23
  4. Step 4: Simplify right side
    31,754.15x = 896,241,731.46
  5. Step 5: Solve for x
    x = 896,241,731.46/31,754.15
  6. Step 6: Final answer
    x = 28,224.40

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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.