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Finding the Fourth Proportional to 66,419.36, 91,657.56 and 36,205.08

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Solution

The fourth proportional to 66,419.36, 91,657.56 and 36,205.08 is: 49,962.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,419.36 : 91,657.56 = 36,205.08 : x
  2. Step 2: Convert to fraction form
    66,419.36/91,657.56 = 36,205.08/x
  3. Step 3: Cross multiply
    66,419.36x = 91,657.56 × 36,205.08
  4. Step 4: Simplify right side
    66,419.36x = 3,318,469,292.40
  5. Step 5: Solve for x
    x = 3,318,469,292.40/66,419.36
  6. Step 6: Final answer
    x = 49,962.38

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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.