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Finding the Fourth Proportional to 50,753.61, 76,137.71 and 15,696

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Solution

The fourth proportional to 50,753.61, 76,137.71 and 15,696 is: 23,546.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,753.61 : 76,137.71 = 15,696 : x
  2. Step 2: Convert to fraction form
    50,753.61/76,137.71 = 15,696/x
  3. Step 3: Cross multiply
    50,753.61x = 76,137.71 × 15,696
  4. Step 4: Simplify right side
    50,753.61x = 1,195,057,417.68
  5. Step 5: Solve for x
    x = 1,195,057,417.68/50,753.61
  6. Step 6: Final answer
    x = 23,546.25

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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.