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Finding the Fourth Proportional to 31,431.78, 47,146.25 and 9,245.88

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Solution

The fourth proportional to 31,431.78, 47,146.25 and 9,245.88 is: 13,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,431.78 : 47,146.25 = 9,245.88 : x
  2. Step 2: Convert to fraction form
    31,431.78/47,146.25 = 9,245.88/x
  3. Step 3: Cross multiply
    31,431.78x = 47,146.25 × 9,245.88
  4. Step 4: Simplify right side
    31,431.78x = 435,908,593.06
  5. Step 5: Solve for x
    x = 435,908,593.06/31,431.78
  6. Step 6: Final answer
    x = 13,868.40

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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.