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Finding the Fourth Proportional to 53,765.85, 74,198.13 and 29,892

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Solution

The fourth proportional to 53,765.85, 74,198.13 and 29,892 is: 41,251.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,765.85 : 74,198.13 = 29,892 : x
  2. Step 2: Convert to fraction form
    53,765.85/74,198.13 = 29,892/x
  3. Step 3: Cross multiply
    53,765.85x = 74,198.13 × 29,892
  4. Step 4: Simplify right side
    53,765.85x = 2,217,930,501.96
  5. Step 5: Solve for x
    x = 2,217,930,501.96/53,765.85
  6. Step 6: Final answer
    x = 41,251.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.