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Finding the Fourth Proportional to 50,792.78, 76,188.36 and 13,856.78

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Solution

The fourth proportional to 50,792.78, 76,188.36 and 13,856.78 is: 20,784.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,792.78 : 76,188.36 = 13,856.78 : x
  2. Step 2: Convert to fraction form
    50,792.78/76,188.36 = 13,856.78/x
  3. Step 3: Cross multiply
    50,792.78x = 76,188.36 × 13,856.78
  4. Step 4: Simplify right side
    50,792.78x = 1,055,725,343.08
  5. Step 5: Solve for x
    x = 1,055,725,343.08/50,792.78
  6. Step 6: Final answer
    x = 20,784.95

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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.