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Finding the Fourth Proportional to 38,791.22, 53,531.94 and 22,024.22

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Solution

The fourth proportional to 38,791.22, 53,531.94 and 22,024.22 is: 30,393.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,791.22 : 53,531.94 = 22,024.22 : x
  2. Step 2: Convert to fraction form
    38,791.22/53,531.94 = 22,024.22/x
  3. Step 3: Cross multiply
    38,791.22x = 53,531.94 × 22,024.22
  4. Step 4: Simplify right side
    38,791.22x = 1,178,998,955.93
  5. Step 5: Solve for x
    x = 1,178,998,955.93/38,791.22
  6. Step 6: Final answer
    x = 30,393.45

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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.