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Finding the Fourth Proportional to 31,880.34, 47,850.84 and 15,249.42

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Solution

The fourth proportional to 31,880.34, 47,850.84 and 15,249.42 is: 22,888.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,880.34 : 47,850.84 = 15,249.42 : x
  2. Step 2: Convert to fraction form
    31,880.34/47,850.84 = 15,249.42/x
  3. Step 3: Cross multiply
    31,880.34x = 47,850.84 × 15,249.42
  4. Step 4: Simplify right side
    31,880.34x = 729,697,556.51
  5. Step 5: Solve for x
    x = 729,697,556.51/31,880.34
  6. Step 6: Final answer
    x = 22,888.64

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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.