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Finding the Fourth Proportional to 50,220, 69,305.76 and 27,864

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Solution

The fourth proportional to 50,220, 69,305.76 and 27,864 is: 38,453.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220 : 69,305.76 = 27,864 : x
  2. Step 2: Convert to fraction form
    50,220/69,305.76 = 27,864/x
  3. Step 3: Cross multiply
    50,220x = 69,305.76 × 27,864
  4. Step 4: Simplify right side
    50,220x = 1,931,135,696.64
  5. Step 5: Solve for x
    x = 1,931,135,696.64/50,220
  6. Step 6: Final answer
    x = 38,453.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.