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Finding the Fourth Proportional to 72,926.82, 100,644.93 and 41,097.87

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Solution

The fourth proportional to 72,926.82, 100,644.93 and 41,097.87 is: 56,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,926.82 : 100,644.93 = 41,097.87 : x
  2. Step 2: Convert to fraction form
    72,926.82/100,644.93 = 41,097.87/x
  3. Step 3: Cross multiply
    72,926.82x = 100,644.93 × 41,097.87
  4. Step 4: Simplify right side
    72,926.82x = 4,136,292,249.30
  5. Step 5: Solve for x
    x = 4,136,292,249.30/72,926.82
  6. Step 6: Final answer
    x = 56,718.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.