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Finding the Fourth Proportional to 55,109.58, 76,052.07 and 31,234.38

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Solution

The fourth proportional to 55,109.58, 76,052.07 and 31,234.38 is: 43,103.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,109.58 : 76,052.07 = 31,234.38 : x
  2. Step 2: Convert to fraction form
    55,109.58/76,052.07 = 31,234.38/x
  3. Step 3: Cross multiply
    55,109.58x = 76,052.07 × 31,234.38
  4. Step 4: Simplify right side
    55,109.58x = 2,375,439,254.17
  5. Step 5: Solve for x
    x = 2,375,439,254.17/55,109.58
  6. Step 6: Final answer
    x = 43,103.93

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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.