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Finding the Fourth Proportional to 71,846.10, 107,769.14 and 27,477.32

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Solution

The fourth proportional to 71,846.10, 107,769.14 and 27,477.32 is: 41,215.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,846.10 : 107,769.14 = 27,477.32 : x
  2. Step 2: Convert to fraction form
    71,846.10/107,769.14 = 27,477.32/x
  3. Step 3: Cross multiply
    71,846.10x = 107,769.14 × 27,477.32
  4. Step 4: Simplify right side
    71,846.10x = 2,961,207,145.90
  5. Step 5: Solve for x
    x = 2,961,207,145.90/71,846.10
  6. Step 6: Final answer
    x = 41,215.98

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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.