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Finding the Fourth Proportional to 66,102.83, 91,221.97 and 35,888.14

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Solution

The fourth proportional to 66,102.83, 91,221.97 and 35,888.14 is: 49,525.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,102.83 : 91,221.97 = 35,888.14 : x
  2. Step 2: Convert to fraction form
    66,102.83/91,221.97 = 35,888.14/x
  3. Step 3: Cross multiply
    66,102.83x = 91,221.97 × 35,888.14
  4. Step 4: Simplify right side
    66,102.83x = 3,273,786,766.41
  5. Step 5: Solve for x
    x = 3,273,786,766.41/66,102.83
  6. Step 6: Final answer
    x = 49,525.66

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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.