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Finding the Fourth Proportional to 31,863.60, 47,789.01 and 30,282.89

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Solution

The fourth proportional to 31,863.60, 47,789.01 and 30,282.89 is: 45,418.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,863.60 : 47,789.01 = 30,282.89 : x
  2. Step 2: Convert to fraction form
    31,863.60/47,789.01 = 30,282.89/x
  3. Step 3: Cross multiply
    31,863.60x = 47,789.01 × 30,282.89
  4. Step 4: Simplify right side
    31,863.60x = 1,447,189,094.09
  5. Step 5: Solve for x
    x = 1,447,189,094.09/31,863.60
  6. Step 6: Final answer
    x = 45,418.25

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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.