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Finding the Fourth Proportional to 49,792.84, 74,700.86 and 22,093

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Solution

The fourth proportional to 49,792.84, 74,700.86 and 22,093 is: 33,144.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,792.84 : 74,700.86 = 22,093 : x
  2. Step 2: Convert to fraction form
    49,792.84/74,700.86 = 22,093/x
  3. Step 3: Cross multiply
    49,792.84x = 74,700.86 × 22,093
  4. Step 4: Simplify right side
    49,792.84x = 1,650,366,099.98
  5. Step 5: Solve for x
    x = 1,650,366,099.98/49,792.84
  6. Step 6: Final answer
    x = 33,144.65

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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.