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Finding the Fourth Proportional to 27,567, 41,298.48 and 16,288.70

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Solution

The fourth proportional to 27,567, 41,298.48 and 16,288.70 is: 24,402.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,567 : 41,298.48 = 16,288.70 : x
  2. Step 2: Convert to fraction form
    27,567/41,298.48 = 16,288.70/x
  3. Step 3: Cross multiply
    27,567x = 41,298.48 × 16,288.70
  4. Step 4: Simplify right side
    27,567x = 672,698,344.68
  5. Step 5: Solve for x
    x = 672,698,344.68/27,567
  6. Step 6: Final answer
    x = 24,402.31

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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.