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Finding the Fourth Proportional to 41,998, 63,006.72 and 14,296

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Solution

The fourth proportional to 41,998, 63,006.72 and 14,296 is: 21,447.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,998 : 63,006.72 = 14,296 : x
  2. Step 2: Convert to fraction form
    41,998/63,006.72 = 14,296/x
  3. Step 3: Cross multiply
    41,998x = 63,006.72 × 14,296
  4. Step 4: Simplify right side
    41,998x = 900,744,069.12
  5. Step 5: Solve for x
    x = 900,744,069.12/41,998
  6. Step 6: Final answer
    x = 21,447.31

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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.