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Finding the Fourth Proportional to 31,855.42, 47,791.77 and 9,669.52

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Solution

The fourth proportional to 31,855.42, 47,791.77 and 9,669.52 is: 14,506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,855.42 : 47,791.77 = 9,669.52 : x
  2. Step 2: Convert to fraction form
    31,855.42/47,791.77 = 9,669.52/x
  3. Step 3: Cross multiply
    31,855.42x = 47,791.77 × 9,669.52
  4. Step 4: Simplify right side
    31,855.42x = 462,123,475.85
  5. Step 5: Solve for x
    x = 462,123,475.85/31,855.42
  6. Step 6: Final answer
    x = 14,506.90

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1.5x scale

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.