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Finding the Fourth Proportional to 31,830.48, 47,720.76 and 20,119.12

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Solution

The fourth proportional to 31,830.48, 47,720.76 and 20,119.12 is: 30,162.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,830.48 : 47,720.76 = 20,119.12 : x
  2. Step 2: Convert to fraction form
    31,830.48/47,720.76 = 20,119.12/x
  3. Step 3: Cross multiply
    31,830.48x = 47,720.76 × 20,119.12
  4. Step 4: Simplify right side
    31,830.48x = 960,099,696.93
  5. Step 5: Solve for x
    x = 960,099,696.93/31,830.48
  6. Step 6: Final answer
    x = 30,162.90

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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.