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Finding the Fourth Proportional to 75,702.90, 104,469.49 and 41,710.60

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Solution

The fourth proportional to 75,702.90, 104,469.49 and 41,710.60 is: 57,560.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,702.90 : 104,469.49 = 41,710.60 : x
  2. Step 2: Convert to fraction form
    75,702.90/104,469.49 = 41,710.60/x
  3. Step 3: Cross multiply
    75,702.90x = 104,469.49 × 41,710.60
  4. Step 4: Simplify right side
    75,702.90x = 4,357,485,028.10
  5. Step 5: Solve for x
    x = 4,357,485,028.10/75,702.90
  6. Step 6: Final answer
    x = 57,560.34

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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.