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Finding the Fourth Proportional to 52,687.82, 72,715.83 and 34,553.79

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Solution

The fourth proportional to 52,687.82, 72,715.83 and 34,553.79 is: 47,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,687.82 : 72,715.83 = 34,553.79 : x
  2. Step 2: Convert to fraction form
    52,687.82/72,715.83 = 34,553.79/x
  3. Step 3: Cross multiply
    52,687.82x = 72,715.83 × 34,553.79
  4. Step 4: Simplify right side
    52,687.82x = 2,512,607,389.92
  5. Step 5: Solve for x
    x = 2,512,607,389.92/52,687.82
  6. Step 6: Final answer
    x = 47,688.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.