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Finding the Fourth Proportional to 50,003.74, 75,033.28 and 29,964

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Solution

The fourth proportional to 50,003.74, 75,033.28 and 29,964 is: 44,962.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,003.74 : 75,033.28 = 29,964 : x
  2. Step 2: Convert to fraction form
    50,003.74/75,033.28 = 29,964/x
  3. Step 3: Cross multiply
    50,003.74x = 75,033.28 × 29,964
  4. Step 4: Simplify right side
    50,003.74x = 2,248,297,201.92
  5. Step 5: Solve for x
    x = 2,248,297,201.92/50,003.74
  6. Step 6: Final answer
    x = 44,962.58

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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.