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Finding the Fourth Proportional to 38,543.67, 57,814.67 and 17,767.17

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Solution

The fourth proportional to 38,543.67, 57,814.67 and 17,767.17 is: 26,650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,543.67 : 57,814.67 = 17,767.17 : x
  2. Step 2: Convert to fraction form
    38,543.67/57,814.67 = 17,767.17/x
  3. Step 3: Cross multiply
    38,543.67x = 57,814.67 × 17,767.17
  4. Step 4: Simplify right side
    38,543.67x = 1,027,202,981.55
  5. Step 5: Solve for x
    x = 1,027,202,981.55/38,543.67
  6. Step 6: Final answer
    x = 26,650.37

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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.