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Finding the Fourth Proportional to 49,122.52, 73,622.10 and 21,009.50

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Solution

The fourth proportional to 49,122.52, 73,622.10 and 21,009.50 is: 31,487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,122.52 : 73,622.10 = 21,009.50 : x
  2. Step 2: Convert to fraction form
    49,122.52/73,622.10 = 21,009.50/x
  3. Step 3: Cross multiply
    49,122.52x = 73,622.10 × 21,009.50
  4. Step 4: Simplify right side
    49,122.52x = 1,546,763,509.95
  5. Step 5: Solve for x
    x = 1,546,763,509.95/49,122.52
  6. Step 6: Final answer
    x = 31,487.87

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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.