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Finding the Fourth Proportional to 38,938, 53,744.16 and 22,180.72

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Solution

The fourth proportional to 38,938, 53,744.16 and 22,180.72 is: 30,614.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,938 : 53,744.16 = 22,180.72 : x
  2. Step 2: Convert to fraction form
    38,938/53,744.16 = 22,180.72/x
  3. Step 3: Cross multiply
    38,938x = 53,744.16 × 22,180.72
  4. Step 4: Simplify right side
    38,938x = 1,192,084,164.60
  5. Step 5: Solve for x
    x = 1,192,084,164.60/38,938
  6. Step 6: Final answer
    x = 30,614.93

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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.