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Finding the Fourth Proportional to 31,706.78, 47,562.22 and 10,645.97

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Solution

The fourth proportional to 31,706.78, 47,562.22 and 10,645.97 is: 15,969.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.78 : 47,562.22 = 10,645.97 : x
  2. Step 2: Convert to fraction form
    31,706.78/47,562.22 = 10,645.97/x
  3. Step 3: Cross multiply
    31,706.78x = 47,562.22 × 10,645.97
  4. Step 4: Simplify right side
    31,706.78x = 506,345,676.21
  5. Step 5: Solve for x
    x = 506,345,676.21/31,706.78
  6. Step 6: Final answer
    x = 15,969.64

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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.