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Finding the Fourth Proportional to 65,885.86, 90,923.22 and 35,671.84

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Solution

The fourth proportional to 65,885.86, 90,923.22 and 35,671.84 is: 49,227.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,885.86 : 90,923.22 = 35,671.84 : x
  2. Step 2: Convert to fraction form
    65,885.86/90,923.22 = 35,671.84/x
  3. Step 3: Cross multiply
    65,885.86x = 90,923.22 × 35,671.84
  4. Step 4: Simplify right side
    65,885.86x = 3,243,398,556.12
  5. Step 5: Solve for x
    x = 3,243,398,556.12/65,885.86
  6. Step 6: Final answer
    x = 49,227.54

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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.