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Finding the Fourth Proportional to 53,842.44, 80,763.84 and 26,121

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Solution

The fourth proportional to 53,842.44, 80,763.84 and 26,121 is: 39,181.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,842.44 : 80,763.84 = 26,121 : x
  2. Step 2: Convert to fraction form
    53,842.44/80,763.84 = 26,121/x
  3. Step 3: Cross multiply
    53,842.44x = 80,763.84 × 26,121
  4. Step 4: Simplify right side
    53,842.44x = 2,109,632,264.64
  5. Step 5: Solve for x
    x = 2,109,632,264.64/53,842.44
  6. Step 6: Final answer
    x = 39,181.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.