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Finding the Fourth Proportional to 51,906.60, 77,831.10 and 22,319.40

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Solution

The fourth proportional to 51,906.60, 77,831.10 and 22,319.40 is: 33,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,906.60 : 77,831.10 = 22,319.40 : x
  2. Step 2: Convert to fraction form
    51,906.60/77,831.10 = 22,319.40/x
  3. Step 3: Cross multiply
    51,906.60x = 77,831.10 × 22,319.40
  4. Step 4: Simplify right side
    51,906.60x = 1,737,143,453.34
  5. Step 5: Solve for x
    x = 1,737,143,453.34/51,906.60
  6. Step 6: Final answer
    x = 33,466.72

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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.