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Finding the Fourth Proportional to 50,288.16, 75,432.24 and 15,228

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Solution

The fourth proportional to 50,288.16, 75,432.24 and 15,228 is: 22,842

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,288.16 : 75,432.24 = 15,228 : x
  2. Step 2: Convert to fraction form
    50,288.16/75,432.24 = 15,228/x
  3. Step 3: Cross multiply
    50,288.16x = 75,432.24 × 15,228
  4. Step 4: Simplify right side
    50,288.16x = 1,148,682,150.72
  5. Step 5: Solve for x
    x = 1,148,682,150.72/50,288.16
  6. Step 6: Final answer
    x = 22,842

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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.