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Finding the Fourth Proportional to 68,376.48, 102,574.44 and 21,633

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Solution

The fourth proportional to 68,376.48, 102,574.44 and 21,633 is: 32,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,376.48 : 102,574.44 = 21,633 : x
  2. Step 2: Convert to fraction form
    68,376.48/102,574.44 = 21,633/x
  3. Step 3: Cross multiply
    68,376.48x = 102,574.44 × 21,633
  4. Step 4: Simplify right side
    68,376.48x = 2,218,992,860.52
  5. Step 5: Solve for x
    x = 2,218,992,860.52/68,376.48
  6. Step 6: Final answer
    x = 32,452.58

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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.