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Finding the Fourth Proportional to 39,691.92, 54,771.84 and 21,784.08

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Solution

The fourth proportional to 39,691.92, 54,771.84 and 21,784.08 is: 30,060.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,691.92 : 54,771.84 = 21,784.08 : x
  2. Step 2: Convert to fraction form
    39,691.92/54,771.84 = 21,784.08/x
  3. Step 3: Cross multiply
    39,691.92x = 54,771.84 × 21,784.08
  4. Step 4: Simplify right side
    39,691.92x = 1,193,154,144.31
  5. Step 5: Solve for x
    x = 1,193,154,144.31/39,691.92
  6. Step 6: Final answer
    x = 30,060.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.