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Finding the Fourth Proportional to 31,851.50, 47,731.91 and 23,465.57

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Solution

The fourth proportional to 31,851.50, 47,731.91 and 23,465.57 is: 35,164.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,851.50 : 47,731.91 = 23,465.57 : x
  2. Step 2: Convert to fraction form
    31,851.50/47,731.91 = 23,465.57/x
  3. Step 3: Cross multiply
    31,851.50x = 47,731.91 × 23,465.57
  4. Step 4: Simplify right side
    31,851.50x = 1,120,056,119.35
  5. Step 5: Solve for x
    x = 1,120,056,119.35/31,851.50
  6. Step 6: Final answer
    x = 35,164.95

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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.