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Finding the Fourth Proportional to 92,431.69, 138,664.68 and 29,267.80

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Solution

The fourth proportional to 92,431.69, 138,664.68 and 29,267.80 is: 43,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,431.69 : 138,664.68 = 29,267.80 : x
  2. Step 2: Convert to fraction form
    92,431.69/138,664.68 = 29,267.80/x
  3. Step 3: Cross multiply
    92,431.69x = 138,664.68 × 29,267.80
  4. Step 4: Simplify right side
    92,431.69x = 4,058,410,121.30
  5. Step 5: Solve for x
    x = 4,058,410,121.30/92,431.69
  6. Step 6: Final answer
    x = 43,907.13

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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.