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Finding the Fourth Proportional to 55,108.32, 76,047.57 and 31,234.38

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Solution

The fourth proportional to 55,108.32, 76,047.57 and 31,234.38 is: 43,102.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,108.32 : 76,047.57 = 31,234.38 : x
  2. Step 2: Convert to fraction form
    55,108.32/76,047.57 = 31,234.38/x
  3. Step 3: Cross multiply
    55,108.32x = 76,047.57 × 31,234.38
  4. Step 4: Simplify right side
    55,108.32x = 2,375,298,699.46
  5. Step 5: Solve for x
    x = 2,375,298,699.46/55,108.32
  6. Step 6: Final answer
    x = 43,102.36

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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.