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Finding the Fourth Proportional to 50,508.96, 75,736.74 and 22,416.80

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Solution

The fourth proportional to 50,508.96, 75,736.74 and 22,416.80 is: 33,613.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,508.96 : 75,736.74 = 22,416.80 : x
  2. Step 2: Convert to fraction form
    50,508.96/75,736.74 = 22,416.80/x
  3. Step 3: Cross multiply
    50,508.96x = 75,736.74 × 22,416.80
  4. Step 4: Simplify right side
    50,508.96x = 1,697,775,353.23
  5. Step 5: Solve for x
    x = 1,697,775,353.23/50,508.96
  6. Step 6: Final answer
    x = 33,613.35

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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.