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Finding the Fourth Proportional to 101,737, 152,609.82 and 27,865

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Solution

The fourth proportional to 101,737, 152,609.82 and 27,865 is: 41,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,737 : 152,609.82 = 27,865 : x
  2. Step 2: Convert to fraction form
    101,737/152,609.82 = 27,865/x
  3. Step 3: Cross multiply
    101,737x = 152,609.82 × 27,865
  4. Step 4: Simplify right side
    101,737x = 4,252,472,634.30
  5. Step 5: Solve for x
    x = 4,252,472,634.30/101,737
  6. Step 6: Final answer
    x = 41,798.68

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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.