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Finding the Fourth Proportional to 45,058.78, 67,589.10 and 13,894

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Solution

The fourth proportional to 45,058.78, 67,589.10 and 13,894 is: 20,841.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,058.78 : 67,589.10 = 13,894 : x
  2. Step 2: Convert to fraction form
    45,058.78/67,589.10 = 13,894/x
  3. Step 3: Cross multiply
    45,058.78x = 67,589.10 × 13,894
  4. Step 4: Simplify right side
    45,058.78x = 939,082,955.40
  5. Step 5: Solve for x
    x = 939,082,955.40/45,058.78
  6. Step 6: Final answer
    x = 20,841.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.