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Finding the Fourth Proportional to 38,922.39, 53,713.22 and 22,156.47

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Solution

The fourth proportional to 38,922.39, 53,713.22 and 22,156.47 is: 30,576.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,922.39 : 53,713.22 = 22,156.47 : x
  2. Step 2: Convert to fraction form
    38,922.39/53,713.22 = 22,156.47/x
  3. Step 3: Cross multiply
    38,922.39x = 53,713.22 × 22,156.47
  4. Step 4: Simplify right side
    38,922.39x = 1,190,095,236.75
  5. Step 5: Solve for x
    x = 1,190,095,236.75/38,922.39
  6. Step 6: Final answer
    x = 30,576.11

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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.