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Finding the Fourth Proportional to 33,343.03, 50,010.90 and 9,964

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Solution

The fourth proportional to 33,343.03, 50,010.90 and 9,964 is: 14,944.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,343.03 : 50,010.90 = 9,964 : x
  2. Step 2: Convert to fraction form
    33,343.03/50,010.90 = 9,964/x
  3. Step 3: Cross multiply
    33,343.03x = 50,010.90 × 9,964
  4. Step 4: Simplify right side
    33,343.03x = 498,308,607.60
  5. Step 5: Solve for x
    x = 498,308,607.60/33,343.03
  6. Step 6: Final answer
    x = 14,944.91

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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.