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Finding the Fourth Proportional to 50,717.76, 76,068 and 19,553.28

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Solution

The fourth proportional to 50,717.76, 76,068 and 19,553.28 is: 29,326.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,717.76 : 76,068 = 19,553.28 : x
  2. Step 2: Convert to fraction form
    50,717.76/76,068 = 19,553.28/x
  3. Step 3: Cross multiply
    50,717.76x = 76,068 × 19,553.28
  4. Step 4: Simplify right side
    50,717.76x = 1,487,378,903.04
  5. Step 5: Solve for x
    x = 1,487,378,903.04/50,717.76
  6. Step 6: Final answer
    x = 29,326.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.