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Finding the Fourth Proportional to 31,373.12, 47,049.24 and 12,648.32

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Solution

The fourth proportional to 31,373.12, 47,049.24 and 12,648.32 is: 18,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.12 : 47,049.24 = 12,648.32 : x
  2. Step 2: Convert to fraction form
    31,373.12/47,049.24 = 12,648.32/x
  3. Step 3: Cross multiply
    31,373.12x = 47,049.24 × 12,648.32
  4. Step 4: Simplify right side
    31,373.12x = 595,093,843.28
  5. Step 5: Solve for x
    x = 595,093,843.28/31,373.12
  6. Step 6: Final answer
    x = 18,968.27

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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.