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Finding the Fourth Proportional to 52,471.29, 78,678.07 and 35,850.09

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Solution

The fourth proportional to 52,471.29, 78,678.07 and 35,850.09 is: 53,755.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,471.29 : 78,678.07 = 35,850.09 : x
  2. Step 2: Convert to fraction form
    52,471.29/78,678.07 = 35,850.09/x
  3. Step 3: Cross multiply
    52,471.29x = 78,678.07 × 35,850.09
  4. Step 4: Simplify right side
    52,471.29x = 2,820,616,095.94
  5. Step 5: Solve for x
    x = 2,820,616,095.94/52,471.29
  6. Step 6: Final answer
    x = 53,755.41

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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.