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Finding the Fourth Proportional to 38,837.82, 53,605.98 and 22,927.26

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Solution

The fourth proportional to 38,837.82, 53,605.98 and 22,927.26 is: 31,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,837.82 : 53,605.98 = 22,927.26 : x
  2. Step 2: Convert to fraction form
    38,837.82/53,605.98 = 22,927.26/x
  3. Step 3: Cross multiply
    38,837.82x = 53,605.98 × 22,927.26
  4. Step 4: Simplify right side
    38,837.82x = 1,229,038,241.01
  5. Step 5: Solve for x
    x = 1,229,038,241.01/38,837.82
  6. Step 6: Final answer
    x = 31,645.40

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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.