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Finding the Fourth Proportional to 31,853.78, 47,782.90 and 9,668.96

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Solution

The fourth proportional to 31,853.78, 47,782.90 and 9,668.96 is: 14,504.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,853.78 : 47,782.90 = 9,668.96 : x
  2. Step 2: Convert to fraction form
    31,853.78/47,782.90 = 9,668.96/x
  3. Step 3: Cross multiply
    31,853.78x = 47,782.90 × 9,668.96
  4. Step 4: Simplify right side
    31,853.78x = 462,010,948.78
  5. Step 5: Solve for x
    x = 462,010,948.78/31,853.78
  6. Step 6: Final answer
    x = 14,504.12

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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.