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Finding the Fourth Proportional to 31,506.44, 47,226.30 and 10,441

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Solution

The fourth proportional to 31,506.44, 47,226.30 and 10,441 is: 15,650.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,506.44 : 47,226.30 = 10,441 : x
  2. Step 2: Convert to fraction form
    31,506.44/47,226.30 = 10,441/x
  3. Step 3: Cross multiply
    31,506.44x = 47,226.30 × 10,441
  4. Step 4: Simplify right side
    31,506.44x = 493,089,798.30
  5. Step 5: Solve for x
    x = 493,089,798.30/31,506.44
  6. Step 6: Final answer
    x = 15,650.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.