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Finding the Fourth Proportional to 51,229, 76,776.54 and 26,247.88

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Solution

The fourth proportional to 51,229, 76,776.54 and 26,247.88 is: 39,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,229 : 76,776.54 = 26,247.88 : x
  2. Step 2: Convert to fraction form
    51,229/76,776.54 = 26,247.88/x
  3. Step 3: Cross multiply
    51,229x = 76,776.54 × 26,247.88
  4. Step 4: Simplify right side
    51,229x = 2,015,221,408.74
  5. Step 5: Solve for x
    x = 2,015,221,408.74/51,229
  6. Step 6: Final answer
    x = 39,337.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.