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Finding the Fourth Proportional to 38,458.92, 53,065.37 and 22,102.95

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Solution

The fourth proportional to 38,458.92, 53,065.37 and 22,102.95 is: 30,497.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,458.92 : 53,065.37 = 22,102.95 : x
  2. Step 2: Convert to fraction form
    38,458.92/53,065.37 = 22,102.95/x
  3. Step 3: Cross multiply
    38,458.92x = 53,065.37 × 22,102.95
  4. Step 4: Simplify right side
    38,458.92x = 1,172,901,109.33
  5. Step 5: Solve for x
    x = 1,172,901,109.33/38,458.92
  6. Step 6: Final answer
    x = 30,497.51

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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.