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Finding the Fourth Proportional to 50,674.84, 69,956.22 and 31,822.36

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Solution

The fourth proportional to 50,674.84, 69,956.22 and 31,822.36 is: 43,930.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,674.84 : 69,956.22 = 31,822.36 : x
  2. Step 2: Convert to fraction form
    50,674.84/69,956.22 = 31,822.36/x
  3. Step 3: Cross multiply
    50,674.84x = 69,956.22 × 31,822.36
  4. Step 4: Simplify right side
    50,674.84x = 2,226,172,017.08
  5. Step 5: Solve for x
    x = 2,226,172,017.08/50,674.84
  6. Step 6: Final answer
    x = 43,930.52

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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.