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Finding the Fourth Proportional to 50,492.86, 75,738.48 and 17,212.66

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Solution

The fourth proportional to 50,492.86, 75,738.48 and 17,212.66 is: 25,818.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,492.86 : 75,738.48 = 17,212.66 : x
  2. Step 2: Convert to fraction form
    50,492.86/75,738.48 = 17,212.66/x
  3. Step 3: Cross multiply
    50,492.86x = 75,738.48 × 17,212.66
  4. Step 4: Simplify right side
    50,492.86x = 1,303,660,705.16
  5. Step 5: Solve for x
    x = 1,303,660,705.16/50,492.86
  6. Step 6: Final answer
    x = 25,818.71

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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.