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Finding the Fourth Proportional to 31,447.62, 47,171.47 and 8,074.06

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Solution

The fourth proportional to 31,447.62, 47,171.47 and 8,074.06 is: 12,111.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,447.62 : 47,171.47 = 8,074.06 : x
  2. Step 2: Convert to fraction form
    31,447.62/47,171.47 = 8,074.06/x
  3. Step 3: Cross multiply
    31,447.62x = 47,171.47 × 8,074.06
  4. Step 4: Simplify right side
    31,447.62x = 380,865,279.07
  5. Step 5: Solve for x
    x = 380,865,279.07/31,447.62
  6. Step 6: Final answer
    x = 12,111.10

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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.