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Finding the Fourth Proportional to 49,565.84, 74,360.46 and 16,286

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Solution

The fourth proportional to 49,565.84, 74,360.46 and 16,286 is: 24,432.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,565.84 : 74,360.46 = 16,286 : x
  2. Step 2: Convert to fraction form
    49,565.84/74,360.46 = 16,286/x
  3. Step 3: Cross multiply
    49,565.84x = 74,360.46 × 16,286
  4. Step 4: Simplify right side
    49,565.84x = 1,211,034,451.56
  5. Step 5: Solve for x
    x = 1,211,034,451.56/49,565.84
  6. Step 6: Final answer
    x = 24,432.84

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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.