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Finding the Fourth Proportional to 30,670.48, 42,324.17 and 17,058.45

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Solution

The fourth proportional to 30,670.48, 42,324.17 and 17,058.45 is: 23,540.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,670.48 : 42,324.17 = 17,058.45 : x
  2. Step 2: Convert to fraction form
    30,670.48/42,324.17 = 17,058.45/x
  3. Step 3: Cross multiply
    30,670.48x = 42,324.17 × 17,058.45
  4. Step 4: Simplify right side
    30,670.48x = 721,984,780.38
  5. Step 5: Solve for x
    x = 721,984,780.38/30,670.48
  6. Step 6: Final answer
    x = 23,540.06

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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.