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Finding the Fourth Proportional to 66,149.94, 91,286.50 and 35,935.02

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Solution

The fourth proportional to 66,149.94, 91,286.50 and 35,935.02 is: 49,590.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,149.94 : 91,286.50 = 35,935.02 : x
  2. Step 2: Convert to fraction form
    66,149.94/91,286.50 = 35,935.02/x
  3. Step 3: Cross multiply
    66,149.94x = 91,286.50 × 35,935.02
  4. Step 4: Simplify right side
    66,149.94x = 3,280,382,203.23
  5. Step 5: Solve for x
    x = 3,280,382,203.23/66,149.94
  6. Step 6: Final answer
    x = 49,590.10

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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.