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Finding the Fourth Proportional to 49,264, 73,896 and 21,562.08

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Solution

The fourth proportional to 49,264, 73,896 and 21,562.08 is: 32,343.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,264 : 73,896 = 21,562.08 : x
  2. Step 2: Convert to fraction form
    49,264/73,896 = 21,562.08/x
  3. Step 3: Cross multiply
    49,264x = 73,896 × 21,562.08
  4. Step 4: Simplify right side
    49,264x = 1,593,351,463.68
  5. Step 5: Solve for x
    x = 1,593,351,463.68/49,264
  6. Step 6: Final answer
    x = 32,343.12

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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.