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Finding the Fourth Proportional to 68,416.20, 102,614.04 and 21,663

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Solution

The fourth proportional to 68,416.20, 102,614.04 and 21,663 is: 32,491.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,416.20 : 102,614.04 = 21,663 : x
  2. Step 2: Convert to fraction form
    68,416.20/102,614.04 = 21,663/x
  3. Step 3: Cross multiply
    68,416.20x = 102,614.04 × 21,663
  4. Step 4: Simplify right side
    68,416.20x = 2,222,927,948.52
  5. Step 5: Solve for x
    x = 2,222,927,948.52/68,416.20
  6. Step 6: Final answer
    x = 32,491.25

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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.