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Finding the Fourth Proportional to 31,393.12, 47,091 and 8,020.24

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Solution

The fourth proportional to 31,393.12, 47,091 and 8,020.24 is: 12,030.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,393.12 : 47,091 = 8,020.24 : x
  2. Step 2: Convert to fraction form
    31,393.12/47,091 = 8,020.24/x
  3. Step 3: Cross multiply
    31,393.12x = 47,091 × 8,020.24
  4. Step 4: Simplify right side
    31,393.12x = 377,681,121.84
  5. Step 5: Solve for x
    x = 377,681,121.84/31,393.12
  6. Step 6: Final answer
    x = 12,030.70

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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.