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Finding the Fourth Proportional to 38,853.67, 53,613.02 and 21,857.34

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Solution

The fourth proportional to 38,853.67, 53,613.02 and 21,857.34 is: 30,160.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,853.67 : 53,613.02 = 21,857.34 : x
  2. Step 2: Convert to fraction form
    38,853.67/53,613.02 = 21,857.34/x
  3. Step 3: Cross multiply
    38,853.67x = 53,613.02 × 21,857.34
  4. Step 4: Simplify right side
    38,853.67x = 1,171,837,897.28
  5. Step 5: Solve for x
    x = 1,171,837,897.28/38,853.67
  6. Step 6: Final answer
    x = 30,160.29

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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.