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Finding the Fourth Proportional to 66,178.88, 91,328.64 and 35,965.52

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Solution

The fourth proportional to 66,178.88, 91,328.64 and 35,965.52 is: 49,633.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,178.88 : 91,328.64 = 35,965.52 : x
  2. Step 2: Convert to fraction form
    66,178.88/91,328.64 = 35,965.52/x
  3. Step 3: Cross multiply
    66,178.88x = 91,328.64 × 35,965.52
  4. Step 4: Simplify right side
    66,178.88x = 3,284,682,028.49
  5. Step 5: Solve for x
    x = 3,284,682,028.49/66,178.88
  6. Step 6: Final answer
    x = 49,633.39

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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.