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Finding the Fourth Proportional to 30,668.40, 42,301.26 and 29,639.88

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Solution

The fourth proportional to 30,668.40, 42,301.26 and 29,639.88 is: 40,882.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,668.40 : 42,301.26 = 29,639.88 : x
  2. Step 2: Convert to fraction form
    30,668.40/42,301.26 = 29,639.88/x
  3. Step 3: Cross multiply
    30,668.40x = 42,301.26 × 29,639.88
  4. Step 4: Simplify right side
    30,668.40x = 1,253,804,270.25
  5. Step 5: Solve for x
    x = 1,253,804,270.25/30,668.40
  6. Step 6: Final answer
    x = 40,882.61

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