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Finding the Fourth Proportional to 50,343, 69,473.34 and 27,991.32

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Solution

The fourth proportional to 50,343, 69,473.34 and 27,991.32 is: 38,628.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,343 : 69,473.34 = 27,991.32 : x
  2. Step 2: Convert to fraction form
    50,343/69,473.34 = 27,991.32/x
  3. Step 3: Cross multiply
    50,343x = 69,473.34 × 27,991.32
  4. Step 4: Simplify right side
    50,343x = 1,944,650,491.41
  5. Step 5: Solve for x
    x = 1,944,650,491.41/50,343
  6. Step 6: Final answer
    x = 38,628.02

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1.5x scale

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.