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Finding the Fourth Proportional to 85,395.26, 117,584.58 and 77,385.38

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Solution

The fourth proportional to 85,395.26, 117,584.58 and 77,385.38 is: 106,555.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,395.26 : 117,584.58 = 77,385.38 : x
  2. Step 2: Convert to fraction form
    85,395.26/117,584.58 = 77,385.38/x
  3. Step 3: Cross multiply
    85,395.26x = 117,584.58 × 77,385.38
  4. Step 4: Simplify right side
    85,395.26x = 9,099,327,405.44
  5. Step 5: Solve for x
    x = 9,099,327,405.44/85,395.26
  6. Step 6: Final answer
    x = 106,555.42

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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.