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Finding the Fourth Proportional to 34,614.86, 47,748.66 and 21,863.48

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Solution

The fourth proportional to 34,614.86, 47,748.66 and 21,863.48 is: 30,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614.86 : 47,748.66 = 21,863.48 : x
  2. Step 2: Convert to fraction form
    34,614.86/47,748.66 = 21,863.48/x
  3. Step 3: Cross multiply
    34,614.86x = 47,748.66 × 21,863.48
  4. Step 4: Simplify right side
    34,614.86x = 1,043,951,872.94
  5. Step 5: Solve for x
    x = 1,043,951,872.94/34,614.86
  6. Step 6: Final answer
    x = 30,159.07

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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.