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Finding the Fourth Proportional to 50,916.68, 76,350.34 and 17,638.64

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Solution

The fourth proportional to 50,916.68, 76,350.34 and 17,638.64 is: 26,449.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,916.68 : 76,350.34 = 17,638.64 : x
  2. Step 2: Convert to fraction form
    50,916.68/76,350.34 = 17,638.64/x
  3. Step 3: Cross multiply
    50,916.68x = 76,350.34 × 17,638.64
  4. Step 4: Simplify right side
    50,916.68x = 1,346,716,161.14
  5. Step 5: Solve for x
    x = 1,346,716,161.14/50,916.68
  6. Step 6: Final answer
    x = 26,449.41

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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.