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Finding the Fourth Proportional to 55,108.50, 76,049.76 and 29,958

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Solution

The fourth proportional to 55,108.50, 76,049.76 and 29,958 is: 41,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,108.50 : 76,049.76 = 29,958 : x
  2. Step 2: Convert to fraction form
    55,108.50/76,049.76 = 29,958/x
  3. Step 3: Cross multiply
    55,108.50x = 76,049.76 × 29,958
  4. Step 4: Simplify right side
    55,108.50x = 2,278,298,710.08
  5. Step 5: Solve for x
    x = 2,278,298,710.08/55,108.50
  6. Step 6: Final answer
    x = 41,342.06

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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.