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Finding the Fourth Proportional to 75,236.58, 103,829.85 and 41,702.58

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Solution

The fourth proportional to 75,236.58, 103,829.85 and 41,702.58 is: 57,551.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,236.58 : 103,829.85 = 41,702.58 : x
  2. Step 2: Convert to fraction form
    75,236.58/103,829.85 = 41,702.58/x
  3. Step 3: Cross multiply
    75,236.58x = 103,829.85 × 41,702.58
  4. Step 4: Simplify right side
    75,236.58x = 4,329,972,626.01
  5. Step 5: Solve for x
    x = 4,329,972,626.01/75,236.58
  6. Step 6: Final answer
    x = 57,551.43

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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.