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Finding the Fourth Proportional to 33,897,788.20, 50,846,682.30 and 31,409,468.20

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Solution

The fourth proportional to 33,897,788.20, 50,846,682.30 and 31,409,468.20 is: 47,114,202.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,897,788.20 : 50,846,682.30 = 31,409,468.20 : x
  2. Step 2: Convert to fraction form
    33,897,788.20/50,846,682.30 = 31,409,468.20/x
  3. Step 3: Cross multiply
    33,897,788.20x = 50,846,682.30 × 31,409,468.20
  4. Step 4: Simplify right side
    33,897,788.20x = 1,597,067,250,777,352.75
  5. Step 5: Solve for x
    x = 1,597,067,250,777,352.75/33,897,788.20
  6. Step 6: Final answer
    x = 47,114,202.30

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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.