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Finding the Fourth Proportional to 87,322.62, 131,008 and 34,769

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Solution

The fourth proportional to 87,322.62, 131,008 and 34,769 is: 52,163.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,322.62 : 131,008 = 34,769 : x
  2. Step 2: Convert to fraction form
    87,322.62/131,008 = 34,769/x
  3. Step 3: Cross multiply
    87,322.62x = 131,008 × 34,769
  4. Step 4: Simplify right side
    87,322.62x = 4,555,017,152
  5. Step 5: Solve for x
    x = 4,555,017,152/87,322.62
  6. Step 6: Final answer
    x = 52,163.08

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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.