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Finding the Fourth Proportional to 31,857.44, 47,793.88 and 9,669.54

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Solution

The fourth proportional to 31,857.44, 47,793.88 and 9,669.54 is: 14,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,857.44 : 47,793.88 = 9,669.54 : x
  2. Step 2: Convert to fraction form
    31,857.44/47,793.88 = 9,669.54/x
  3. Step 3: Cross multiply
    31,857.44x = 47,793.88 × 9,669.54
  4. Step 4: Simplify right side
    31,857.44x = 462,144,834.42
  5. Step 5: Solve for x
    x = 462,144,834.42/31,857.44
  6. Step 6: Final answer
    x = 14,506.65

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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.