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Finding the Fourth Proportional to 34,774.08, 52,161.12 and 13,983

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Solution

The fourth proportional to 34,774.08, 52,161.12 and 13,983 is: 20,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,774.08 : 52,161.12 = 13,983 : x
  2. Step 2: Convert to fraction form
    34,774.08/52,161.12 = 13,983/x
  3. Step 3: Cross multiply
    34,774.08x = 52,161.12 × 13,983
  4. Step 4: Simplify right side
    34,774.08x = 729,368,940.96
  5. Step 5: Solve for x
    x = 729,368,940.96/34,774.08
  6. Step 6: Final answer
    x = 20,974.50

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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.