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Finding the Fourth Proportional to 33,031, 49,552.98 and 14,563

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Solution

The fourth proportional to 33,031, 49,552.98 and 14,563 is: 21,847.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031 : 49,552.98 = 14,563 : x
  2. Step 2: Convert to fraction form
    33,031/49,552.98 = 14,563/x
  3. Step 3: Cross multiply
    33,031x = 49,552.98 × 14,563
  4. Step 4: Simplify right side
    33,031x = 721,640,047.74
  5. Step 5: Solve for x
    x = 721,640,047.74/33,031
  6. Step 6: Final answer
    x = 21,847.36

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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.