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Finding the Fourth Proportional to 31,404, 43,299.12 and 24,668.64

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Solution

The fourth proportional to 31,404, 43,299.12 and 24,668.64 is: 34,012.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,404 : 43,299.12 = 24,668.64 : x
  2. Step 2: Convert to fraction form
    31,404/43,299.12 = 24,668.64/x
  3. Step 3: Cross multiply
    31,404x = 43,299.12 × 24,668.64
  4. Step 4: Simplify right side
    31,404x = 1,068,130,403.60
  5. Step 5: Solve for x
    x = 1,068,130,403.60/31,404
  6. Step 6: Final answer
    x = 34,012.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.