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Finding the Fourth Proportional to 50,624.56, 75,957 and 19,451.44

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Solution

The fourth proportional to 50,624.56, 75,957 and 19,451.44 is: 29,184.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,624.56 : 75,957 = 19,451.44 : x
  2. Step 2: Convert to fraction form
    50,624.56/75,957 = 19,451.44/x
  3. Step 3: Cross multiply
    50,624.56x = 75,957 × 19,451.44
  4. Step 4: Simplify right side
    50,624.56x = 1,477,473,028.08
  5. Step 5: Solve for x
    x = 1,477,473,028.08/50,624.56
  6. Step 6: Final answer
    x = 29,184.91

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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.