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Finding the Fourth Proportional to 50,991.68, 70,394.12 and 31,882.08

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Solution

The fourth proportional to 50,991.68, 70,394.12 and 31,882.08 is: 44,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,991.68 : 70,394.12 = 31,882.08 : x
  2. Step 2: Convert to fraction form
    50,991.68/70,394.12 = 31,882.08/x
  3. Step 3: Cross multiply
    50,991.68x = 70,394.12 × 31,882.08
  4. Step 4: Simplify right side
    50,991.68x = 2,244,310,965.37
  5. Step 5: Solve for x
    x = 2,244,310,965.37/50,991.68
  6. Step 6: Final answer
    x = 44,013.28

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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.