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Finding the Fourth Proportional to 27,488.77, 41,229.51 and 7,769.01

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Solution

The fourth proportional to 27,488.77, 41,229.51 and 7,769.01 is: 11,652.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488.77 : 41,229.51 = 7,769.01 : x
  2. Step 2: Convert to fraction form
    27,488.77/41,229.51 = 7,769.01/x
  3. Step 3: Cross multiply
    27,488.77x = 41,229.51 × 7,769.01
  4. Step 4: Simplify right side
    27,488.77x = 320,312,600.96
  5. Step 5: Solve for x
    x = 320,312,600.96/27,488.77
  6. Step 6: Final answer
    x = 11,652.49

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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.