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Finding the Fourth Proportional to 66,083.14, 91,194.83 and 35,868.46

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Solution

The fourth proportional to 66,083.14, 91,194.83 and 35,868.46 is: 49,498.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,083.14 : 91,194.83 = 35,868.46 : x
  2. Step 2: Convert to fraction form
    66,083.14/91,194.83 = 35,868.46/x
  3. Step 3: Cross multiply
    66,083.14x = 91,194.83 × 35,868.46
  4. Step 4: Simplify right side
    66,083.14x = 3,271,018,112.06
  5. Step 5: Solve for x
    x = 3,271,018,112.06/66,083.14
  6. Step 6: Final answer
    x = 49,498.53

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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.