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Finding the Fourth Proportional to 30,514.78, 42,109.23 and 17,084.78

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Solution

The fourth proportional to 30,514.78, 42,109.23 and 17,084.78 is: 23,576.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,514.78 : 42,109.23 = 17,084.78 : x
  2. Step 2: Convert to fraction form
    30,514.78/42,109.23 = 17,084.78/x
  3. Step 3: Cross multiply
    30,514.78x = 42,109.23 × 17,084.78
  4. Step 4: Simplify right side
    30,514.78x = 719,426,930.52
  5. Step 5: Solve for x
    x = 719,426,930.52/30,514.78
  6. Step 6: Final answer
    x = 23,576.34

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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.