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Finding the Fourth Proportional to 38,971.08, 53,781.30 and 22,203

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Solution

The fourth proportional to 38,971.08, 53,781.30 and 22,203 is: 30,640.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,971.08 : 53,781.30 = 22,203 : x
  2. Step 2: Convert to fraction form
    38,971.08/53,781.30 = 22,203/x
  3. Step 3: Cross multiply
    38,971.08x = 53,781.30 × 22,203
  4. Step 4: Simplify right side
    38,971.08x = 1,194,106,203.90
  5. Step 5: Solve for x
    x = 1,194,106,203.90/38,971.08
  6. Step 6: Final answer
    x = 30,640.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.