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Finding the Fourth Proportional to 55,334.73, 76,356.78 and 31,456.74

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Solution

The fourth proportional to 55,334.73, 76,356.78 and 31,456.74 is: 43,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,334.73 : 76,356.78 = 31,456.74 : x
  2. Step 2: Convert to fraction form
    55,334.73/76,356.78 = 31,456.74/x
  3. Step 3: Cross multiply
    55,334.73x = 76,356.78 × 31,456.74
  4. Step 4: Simplify right side
    55,334.73x = 2,401,935,375.70
  5. Step 5: Solve for x
    x = 2,401,935,375.70/55,334.73
  6. Step 6: Final answer
    x = 43,407.38

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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.