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Finding the Fourth Proportional to 36,769.30, 55,148.74 and 11,806.11

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Solution

The fourth proportional to 36,769.30, 55,148.74 and 11,806.11 is: 17,707.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769.30 : 55,148.74 = 11,806.11 : x
  2. Step 2: Convert to fraction form
    36,769.30/55,148.74 = 11,806.11/x
  3. Step 3: Cross multiply
    36,769.30x = 55,148.74 × 11,806.11
  4. Step 4: Simplify right side
    36,769.30x = 651,092,061.29
  5. Step 5: Solve for x
    x = 651,092,061.29/36,769.30
  6. Step 6: Final answer
    x = 17,707.49

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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.