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Finding the Fourth Proportional to 67,343.94, 100,994.04 and 31,799.76

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Solution

The fourth proportional to 67,343.94, 100,994.04 and 31,799.76 is: 47,689.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,343.94 : 100,994.04 = 31,799.76 : x
  2. Step 2: Convert to fraction form
    67,343.94/100,994.04 = 31,799.76/x
  3. Step 3: Cross multiply
    67,343.94x = 100,994.04 × 31,799.76
  4. Step 4: Simplify right side
    67,343.94x = 3,211,586,233.43
  5. Step 5: Solve for x
    x = 3,211,586,233.43/67,343.94
  6. Step 6: Final answer
    x = 47,689.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.