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Finding the Fourth Proportional to 67,317.06, 100,978.67 and 25,186.22

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Solution

The fourth proportional to 67,317.06, 100,978.67 and 25,186.22 is: 37,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,317.06 : 100,978.67 = 25,186.22 : x
  2. Step 2: Convert to fraction form
    67,317.06/100,978.67 = 25,186.22/x
  3. Step 3: Cross multiply
    67,317.06x = 100,978.67 × 25,186.22
  4. Step 4: Simplify right side
    67,317.06x = 2,543,270,997.93
  5. Step 5: Solve for x
    x = 2,543,270,997.93/67,317.06
  6. Step 6: Final answer
    x = 37,780.48

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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.