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Finding the Fourth Proportional to 33,031.40, 49,604.70 and 31,994.60

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Solution

The fourth proportional to 33,031.40, 49,604.70 and 31,994.60 is: 48,047.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031.40 : 49,604.70 = 31,994.60 : x
  2. Step 2: Convert to fraction form
    33,031.40/49,604.70 = 31,994.60/x
  3. Step 3: Cross multiply
    33,031.40x = 49,604.70 × 31,994.60
  4. Step 4: Simplify right side
    33,031.40x = 1,587,082,534.62
  5. Step 5: Solve for x
    x = 1,587,082,534.62/33,031.40
  6. Step 6: Final answer
    x = 48,047.69

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