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Finding the Fourth Proportional to 38,864, 53,632.32 and 22,097

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Solution

The fourth proportional to 38,864, 53,632.32 and 22,097 is: 30,493.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,864 : 53,632.32 = 22,097 : x
  2. Step 2: Convert to fraction form
    38,864/53,632.32 = 22,097/x
  3. Step 3: Cross multiply
    38,864x = 53,632.32 × 22,097
  4. Step 4: Simplify right side
    38,864x = 1,185,113,375.04
  5. Step 5: Solve for x
    x = 1,185,113,375.04/38,864
  6. Step 6: Final answer
    x = 30,493.86

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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.