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Finding the Fourth Proportional to 38,874.06, 53,645.54 and 21,878.30

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Solution

The fourth proportional to 38,874.06, 53,645.54 and 21,878.30 is: 30,191.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,874.06 : 53,645.54 = 21,878.30 : x
  2. Step 2: Convert to fraction form
    38,874.06/53,645.54 = 21,878.30/x
  3. Step 3: Cross multiply
    38,874.06x = 53,645.54 × 21,878.30
  4. Step 4: Simplify right side
    38,874.06x = 1,173,673,217.78
  5. Step 5: Solve for x
    x = 1,173,673,217.78/38,874.06
  6. Step 6: Final answer
    x = 30,191.68

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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.