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Finding the Fourth Proportional to 71,768.92, 107,653.62 and 21,849.40

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Solution

The fourth proportional to 71,768.92, 107,653.62 and 21,849.40 is: 32,774.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,768.92 : 107,653.62 = 21,849.40 : x
  2. Step 2: Convert to fraction form
    71,768.92/107,653.62 = 21,849.40/x
  3. Step 3: Cross multiply
    71,768.92x = 107,653.62 × 21,849.40
  4. Step 4: Simplify right side
    71,768.92x = 2,352,167,004.83
  5. Step 5: Solve for x
    x = 2,352,167,004.83/71,768.92
  6. Step 6: Final answer
    x = 32,774.17

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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.