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Finding the Fourth Proportional to 55,279.74, 76,286.07 and 31,406.45

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Solution

The fourth proportional to 55,279.74, 76,286.07 and 31,406.45 is: 43,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,279.74 : 76,286.07 = 31,406.45 : x
  2. Step 2: Convert to fraction form
    55,279.74/76,286.07 = 31,406.45/x
  3. Step 3: Cross multiply
    55,279.74x = 76,286.07 × 31,406.45
  4. Step 4: Simplify right side
    55,279.74x = 2,395,874,486.12
  5. Step 5: Solve for x
    x = 2,395,874,486.12/55,279.74
  6. Step 6: Final answer
    x = 43,340.91

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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.