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Finding the Fourth Proportional to 50,336.14, 75,471 and 28,151.86

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Solution

The fourth proportional to 50,336.14, 75,471 and 28,151.86 is: 42,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,336.14 : 75,471 = 28,151.86 : x
  2. Step 2: Convert to fraction form
    50,336.14/75,471 = 28,151.86/x
  3. Step 3: Cross multiply
    50,336.14x = 75,471 × 28,151.86
  4. Step 4: Simplify right side
    50,336.14x = 2,124,649,026.06
  5. Step 5: Solve for x
    x = 2,124,649,026.06/50,336.14
  6. Step 6: Final answer
    x = 42,209.22

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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.