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Finding the Fourth Proportional to 34,247.08, 51,356.04 and 13,456

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Solution

The fourth proportional to 34,247.08, 51,356.04 and 13,456 is: 20,178.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,247.08 : 51,356.04 = 13,456 : x
  2. Step 2: Convert to fraction form
    34,247.08/51,356.04 = 13,456/x
  3. Step 3: Cross multiply
    34,247.08x = 51,356.04 × 13,456
  4. Step 4: Simplify right side
    34,247.08x = 691,046,874.24
  5. Step 5: Solve for x
    x = 691,046,874.24/34,247.08
  6. Step 6: Final answer
    x = 20,178.27

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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.