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Finding the Fourth Proportional to 27,578.34, 38,058.33 and 15,003.06

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Solution

The fourth proportional to 27,578.34, 38,058.33 and 15,003.06 is: 20,704.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,578.34 : 38,058.33 = 15,003.06 : x
  2. Step 2: Convert to fraction form
    27,578.34/38,058.33 = 15,003.06/x
  3. Step 3: Cross multiply
    27,578.34x = 38,058.33 × 15,003.06
  4. Step 4: Simplify right side
    27,578.34x = 570,991,408.49
  5. Step 5: Solve for x
    x = 570,991,408.49/27,578.34
  6. Step 6: Final answer
    x = 20,704.34

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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.