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Finding the Fourth Proportional to 115,529, 173,294.22 and 41,657

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Solution

The fourth proportional to 115,529, 173,294.22 and 41,657 is: 62,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,529 : 173,294.22 = 41,657 : x
  2. Step 2: Convert to fraction form
    115,529/173,294.22 = 41,657/x
  3. Step 3: Cross multiply
    115,529x = 173,294.22 × 41,657
  4. Step 4: Simplify right side
    115,529x = 7,218,917,322.54
  5. Step 5: Solve for x
    x = 7,218,917,322.54/115,529
  6. Step 6: Final answer
    x = 62,485.76

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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.