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Finding the Fourth Proportional to 50,205.39, 75,320.55 and 24,916.78

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Solution

The fourth proportional to 50,205.39, 75,320.55 and 24,916.78 is: 37,381.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,205.39 : 75,320.55 = 24,916.78 : x
  2. Step 2: Convert to fraction form
    50,205.39/75,320.55 = 24,916.78/x
  3. Step 3: Cross multiply
    50,205.39x = 75,320.55 × 24,916.78
  4. Step 4: Simplify right side
    50,205.39x = 1,876,745,197.23
  5. Step 5: Solve for x
    x = 1,876,745,197.23/50,205.39
  6. Step 6: Final answer
    x = 37,381.35

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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.