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Finding the Fourth Proportional to 36,702.57, 55,053.11 and 11,742.62

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Solution

The fourth proportional to 36,702.57, 55,053.11 and 11,742.62 is: 17,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,702.57 : 55,053.11 = 11,742.62 : x
  2. Step 2: Convert to fraction form
    36,702.57/55,053.11 = 11,742.62/x
  3. Step 3: Cross multiply
    36,702.57x = 55,053.11 × 11,742.62
  4. Step 4: Simplify right side
    36,702.57x = 646,467,748.26
  5. Step 5: Solve for x
    x = 646,467,748.26/36,702.57
  6. Step 6: Final answer
    x = 17,613.69

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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.