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Finding the Fourth Proportional to 38,365.85, 52,946.34 and 22,233.71

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Solution

The fourth proportional to 38,365.85, 52,946.34 and 22,233.71 is: 30,683.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,365.85 : 52,946.34 = 22,233.71 : x
  2. Step 2: Convert to fraction form
    38,365.85/52,946.34 = 22,233.71/x
  3. Step 3: Cross multiply
    38,365.85x = 52,946.34 × 22,233.71
  4. Step 4: Simplify right side
    38,365.85x = 1,177,193,304.39
  5. Step 5: Solve for x
    x = 1,177,193,304.39/38,365.85
  6. Step 6: Final answer
    x = 30,683.37

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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.