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Finding the Fourth Proportional to 36,710.96, 55,071.90 and 11,748.78

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Solution

The fourth proportional to 36,710.96, 55,071.90 and 11,748.78 is: 17,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,710.96 : 55,071.90 = 11,748.78 : x
  2. Step 2: Convert to fraction form
    36,710.96/55,071.90 = 11,748.78/x
  3. Step 3: Cross multiply
    36,710.96x = 55,071.90 × 11,748.78
  4. Step 4: Simplify right side
    36,710.96x = 647,027,637.28
  5. Step 5: Solve for x
    x = 647,027,637.28/36,710.96
  6. Step 6: Final answer
    x = 17,624.92

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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.