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Finding the Fourth Proportional to 50,584.06, 75,876.04 and 15,045.24

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Solution

The fourth proportional to 50,584.06, 75,876.04 and 15,045.24 is: 22,567.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,584.06 : 75,876.04 = 15,045.24 : x
  2. Step 2: Convert to fraction form
    50,584.06/75,876.04 = 15,045.24/x
  3. Step 3: Cross multiply
    50,584.06x = 75,876.04 × 15,045.24
  4. Step 4: Simplify right side
    50,584.06x = 1,141,572,777.44
  5. Step 5: Solve for x
    x = 1,141,572,777.44/50,584.06
  6. Step 6: Final answer
    x = 22,567.84

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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.