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Finding the Fourth Proportional to 73,106.83, 100,881.79 and 41,278.87

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Solution

The fourth proportional to 73,106.83, 100,881.79 and 41,278.87 is: 56,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,106.83 : 100,881.79 = 41,278.87 : x
  2. Step 2: Convert to fraction form
    73,106.83/100,881.79 = 41,278.87/x
  3. Step 3: Cross multiply
    73,106.83x = 100,881.79 × 41,278.87
  4. Step 4: Simplify right side
    73,106.83x = 4,164,286,294.78
  5. Step 5: Solve for x
    x = 4,164,286,294.78/73,106.83
  6. Step 6: Final answer
    x = 56,961.66

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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.