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Finding the Fourth Proportional to 65,311.66, 90,137.64 and 37,022.50

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Solution

The fourth proportional to 65,311.66, 90,137.64 and 37,022.50 is: 51,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,311.66 : 90,137.64 = 37,022.50 : x
  2. Step 2: Convert to fraction form
    65,311.66/90,137.64 = 37,022.50/x
  3. Step 3: Cross multiply
    65,311.66x = 90,137.64 × 37,022.50
  4. Step 4: Simplify right side
    65,311.66x = 3,337,120,776.90
  5. Step 5: Solve for x
    x = 3,337,120,776.90/65,311.66
  6. Step 6: Final answer
    x = 51,095.33

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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.