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Finding the Fourth Proportional to 67,846.86, 101,754.09 and 25,730.91

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Solution

The fourth proportional to 67,846.86, 101,754.09 and 25,730.91 is: 38,590.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,846.86 : 101,754.09 = 25,730.91 : x
  2. Step 2: Convert to fraction form
    67,846.86/101,754.09 = 25,730.91/x
  3. Step 3: Cross multiply
    67,846.86x = 101,754.09 × 25,730.91
  4. Step 4: Simplify right side
    67,846.86x = 2,618,225,331.92
  5. Step 5: Solve for x
    x = 2,618,225,331.92/67,846.86
  6. Step 6: Final answer
    x = 38,590.22

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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.