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Finding the Fourth Proportional to 64,616.50, 96,923.58 and 35,221.42

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Solution

The fourth proportional to 64,616.50, 96,923.58 and 35,221.42 is: 52,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,616.50 : 96,923.58 = 35,221.42 : x
  2. Step 2: Convert to fraction form
    64,616.50/96,923.58 = 35,221.42/x
  3. Step 3: Cross multiply
    64,616.50x = 96,923.58 × 35,221.42
  4. Step 4: Simplify right side
    64,616.50x = 3,413,786,119.08
  5. Step 5: Solve for x
    x = 3,413,786,119.08/64,616.50
  6. Step 6: Final answer
    x = 52,831.49

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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.