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Finding the Fourth Proportional to 31,706.40, 43,754.75 and 18,277.56

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Solution

The fourth proportional to 31,706.40, 43,754.75 and 18,277.56 is: 25,222.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.40 : 43,754.75 = 18,277.56 : x
  2. Step 2: Convert to fraction form
    31,706.40/43,754.75 = 18,277.56/x
  3. Step 3: Cross multiply
    31,706.40x = 43,754.75 × 18,277.56
  4. Step 4: Simplify right side
    31,706.40x = 799,730,068.41
  5. Step 5: Solve for x
    x = 799,730,068.41/31,706.40
  6. Step 6: Final answer
    x = 25,222.99

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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.