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Finding the Fourth Proportional to 30,729.69, 42,407.78 and 17,301.42

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Solution

The fourth proportional to 30,729.69, 42,407.78 and 17,301.42 is: 23,876.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,729.69 : 42,407.78 = 17,301.42 : x
  2. Step 2: Convert to fraction form
    30,729.69/42,407.78 = 17,301.42/x
  3. Step 3: Cross multiply
    30,729.69x = 42,407.78 × 17,301.42
  4. Step 4: Simplify right side
    30,729.69x = 733,714,726.54
  5. Step 5: Solve for x
    x = 733,714,726.54/30,729.69
  6. Step 6: Final answer
    x = 23,876.41

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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.