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Finding the Fourth Proportional to 53,876.70, 80,842.74 and 23,911.47

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Solution

The fourth proportional to 53,876.70, 80,842.74 and 23,911.47 is: 35,879.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,876.70 : 80,842.74 = 23,911.47 : x
  2. Step 2: Convert to fraction form
    53,876.70/80,842.74 = 23,911.47/x
  3. Step 3: Cross multiply
    53,876.70x = 80,842.74 × 23,911.47
  4. Step 4: Simplify right side
    53,876.70x = 1,933,068,752.23
  5. Step 5: Solve for x
    x = 1,933,068,752.23/53,876.70
  6. Step 6: Final answer
    x = 35,879.49

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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.