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Finding the Fourth Proportional to 77,493.48, 116,227.74 and 22,076.52

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Solution

The fourth proportional to 77,493.48, 116,227.74 and 22,076.52 is: 33,111.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,493.48 : 116,227.74 = 22,076.52 : x
  2. Step 2: Convert to fraction form
    77,493.48/116,227.74 = 22,076.52/x
  3. Step 3: Cross multiply
    77,493.48x = 116,227.74 × 22,076.52
  4. Step 4: Simplify right side
    77,493.48x = 2,565,904,026.66
  5. Step 5: Solve for x
    x = 2,565,904,026.66/77,493.48
  6. Step 6: Final answer
    x = 33,111.22

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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.