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Finding the Fourth Proportional to 47,794.88, 71,669.10 and 14,508.92

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Solution

The fourth proportional to 47,794.88, 71,669.10 and 14,508.92 is: 21,756.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,794.88 : 71,669.10 = 14,508.92 : x
  2. Step 2: Convert to fraction form
    47,794.88/71,669.10 = 14,508.92/x
  3. Step 3: Cross multiply
    47,794.88x = 71,669.10 × 14,508.92
  4. Step 4: Simplify right side
    47,794.88x = 1,039,841,238.37
  5. Step 5: Solve for x
    x = 1,039,841,238.37/47,794.88
  6. Step 6: Final answer
    x = 21,756.33

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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.