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Finding the Fourth Proportional to 50,216.64, 69,343.68 and 36,864

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Solution

The fourth proportional to 50,216.64, 69,343.68 and 36,864 is: 50,905.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,216.64 : 69,343.68 = 36,864 : x
  2. Step 2: Convert to fraction form
    50,216.64/69,343.68 = 36,864/x
  3. Step 3: Cross multiply
    50,216.64x = 69,343.68 × 36,864
  4. Step 4: Simplify right side
    50,216.64x = 2,556,285,419.52
  5. Step 5: Solve for x
    x = 2,556,285,419.52/50,216.64
  6. Step 6: Final answer
    x = 50,905.15

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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.