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Finding the Fourth Proportional to 31,706.73, 47,543.09 and 30,343.50

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Solution

The fourth proportional to 31,706.73, 47,543.09 and 30,343.50 is: 45,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.73 : 47,543.09 = 30,343.50 : x
  2. Step 2: Convert to fraction form
    31,706.73/47,543.09 = 30,343.50/x
  3. Step 3: Cross multiply
    31,706.73x = 47,543.09 × 30,343.50
  4. Step 4: Simplify right side
    31,706.73x = 1,442,623,599.70
  5. Step 5: Solve for x
    x = 1,442,623,599.70/31,706.73
  6. Step 6: Final answer
    x = 45,498.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.