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Finding the Fourth Proportional to 69,083.60, 103,625.40 and 52,494.80

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Solution

The fourth proportional to 69,083.60, 103,625.40 and 52,494.80 is: 78,742.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,083.60 : 103,625.40 = 52,494.80 : x
  2. Step 2: Convert to fraction form
    69,083.60/103,625.40 = 52,494.80/x
  3. Step 3: Cross multiply
    69,083.60x = 103,625.40 × 52,494.80
  4. Step 4: Simplify right side
    69,083.60x = 5,439,794,647.92
  5. Step 5: Solve for x
    x = 5,439,794,647.92/69,083.60
  6. Step 6: Final answer
    x = 78,742.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.