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Finding the Fourth Proportional to 38,494.63, 53,107.68 and 22,573.27

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Solution

The fourth proportional to 38,494.63, 53,107.68 and 22,573.27 is: 31,142.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.63 : 53,107.68 = 22,573.27 : x
  2. Step 2: Convert to fraction form
    38,494.63/53,107.68 = 22,573.27/x
  3. Step 3: Cross multiply
    38,494.63x = 53,107.68 × 22,573.27
  4. Step 4: Simplify right side
    38,494.63x = 1,198,813,999.71
  5. Step 5: Solve for x
    x = 1,198,813,999.71/38,494.63
  6. Step 6: Final answer
    x = 31,142.37

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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.