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Finding the Fourth Proportional to 62,197.42, 85,831.89 and 33,902.50

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Solution

The fourth proportional to 62,197.42, 85,831.89 and 33,902.50 is: 46,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,197.42 : 85,831.89 = 33,902.50 : x
  2. Step 2: Convert to fraction form
    62,197.42/85,831.89 = 33,902.50/x
  3. Step 3: Cross multiply
    62,197.42x = 85,831.89 × 33,902.50
  4. Step 4: Simplify right side
    62,197.42x = 2,909,915,650.73
  5. Step 5: Solve for x
    x = 2,909,915,650.73/62,197.42
  6. Step 6: Final answer
    x = 46,785.15

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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.