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Finding the Fourth Proportional to 33,031, 49,536.78 and 9,651.88

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Solution

The fourth proportional to 33,031, 49,536.78 and 9,651.88 is: 14,474.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,031 : 49,536.78 = 9,651.88 : x
  2. Step 2: Convert to fraction form
    33,031/49,536.78 = 9,651.88/x
  3. Step 3: Cross multiply
    33,031x = 49,536.78 × 9,651.88
  4. Step 4: Simplify right side
    33,031x = 478,123,056.15
  5. Step 5: Solve for x
    x = 478,123,056.15/33,031
  6. Step 6: Final answer
    x = 14,474.98

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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.