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Finding the Fourth Proportional to 65,864.87, 90,893.26 and 35,650.71

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Solution

The fourth proportional to 65,864.87, 90,893.26 and 35,650.71 is: 49,197.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,864.87 : 90,893.26 = 35,650.71 : x
  2. Step 2: Convert to fraction form
    65,864.87/90,893.26 = 35,650.71/x
  3. Step 3: Cross multiply
    65,864.87x = 90,893.26 × 35,650.71
  4. Step 4: Simplify right side
    65,864.87x = 3,240,409,253.21
  5. Step 5: Solve for x
    x = 3,240,409,253.21/65,864.87
  6. Step 6: Final answer
    x = 49,197.84

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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.