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Finding the Fourth Proportional to 55,606.78, 76,738.84 and 31,405.80

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Solution

The fourth proportional to 55,606.78, 76,738.84 and 31,405.80 is: 43,340.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,606.78 : 76,738.84 = 31,405.80 : x
  2. Step 2: Convert to fraction form
    55,606.78/76,738.84 = 31,405.80/x
  3. Step 3: Cross multiply
    55,606.78x = 76,738.84 × 31,405.80
  4. Step 4: Simplify right side
    55,606.78x = 2,410,044,831.36
  5. Step 5: Solve for x
    x = 2,410,044,831.36/55,606.78
  6. Step 6: Final answer
    x = 43,340.85

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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.