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Finding the Fourth Proportional to 66,178.89, 91,326.02 and 35,963.46

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Solution

The fourth proportional to 66,178.89, 91,326.02 and 35,963.46 is: 49,629.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,178.89 : 91,326.02 = 35,963.46 : x
  2. Step 2: Convert to fraction form
    66,178.89/91,326.02 = 35,963.46/x
  3. Step 3: Cross multiply
    66,178.89x = 91,326.02 × 35,963.46
  4. Step 4: Simplify right side
    66,178.89x = 3,284,399,487.41
  5. Step 5: Solve for x
    x = 3,284,399,487.41/66,178.89
  6. Step 6: Final answer
    x = 49,629.11

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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.