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Finding the Fourth Proportional to 38,498.38, 53,128.17 and 22,583.09

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Solution

The fourth proportional to 38,498.38, 53,128.17 and 22,583.09 is: 31,164.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.38 : 53,128.17 = 22,583.09 : x
  2. Step 2: Convert to fraction form
    38,498.38/53,128.17 = 22,583.09/x
  3. Step 3: Cross multiply
    38,498.38x = 53,128.17 × 22,583.09
  4. Step 4: Simplify right side
    38,498.38x = 1,199,798,244.65
  5. Step 5: Solve for x
    x = 1,199,798,244.65/38,498.38
  6. Step 6: Final answer
    x = 31,164.90

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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.