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Finding the Fourth Proportional to 38,497.38, 53,126.79 and 22,582.09

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Solution

The fourth proportional to 38,497.38, 53,126.79 and 22,582.09 is: 31,163.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,497.38 : 53,126.79 = 22,582.09 : x
  2. Step 2: Convert to fraction form
    38,497.38/53,126.79 = 22,582.09/x
  3. Step 3: Cross multiply
    38,497.38x = 53,126.79 × 22,582.09
  4. Step 4: Simplify right side
    38,497.38x = 1,199,713,934.92
  5. Step 5: Solve for x
    x = 1,199,713,934.92/38,497.38
  6. Step 6: Final answer
    x = 31,163.52

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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.