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Finding the Fourth Proportional to 70,994.94, 106,517.52 and 31,548.48

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Solution

The fourth proportional to 70,994.94, 106,517.52 and 31,548.48 is: 47,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,994.94 : 106,517.52 = 31,548.48 : x
  2. Step 2: Convert to fraction form
    70,994.94/106,517.52 = 31,548.48/x
  3. Step 3: Cross multiply
    70,994.94x = 106,517.52 × 31,548.48
  4. Step 4: Simplify right side
    70,994.94x = 3,360,465,849.37
  5. Step 5: Solve for x
    x = 3,360,465,849.37/70,994.94
  6. Step 6: Final answer
    x = 47,333.88

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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.