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Finding the Fourth Proportional to 51,846.89, 77,691.11 and 34,917.30

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Solution

The fourth proportional to 51,846.89, 77,691.11 and 34,917.30 is: 52,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,846.89 : 77,691.11 = 34,917.30 : x
  2. Step 2: Convert to fraction form
    51,846.89/77,691.11 = 34,917.30/x
  3. Step 3: Cross multiply
    51,846.89x = 77,691.11 × 34,917.30
  4. Step 4: Simplify right side
    51,846.89x = 2,712,763,329.27
  5. Step 5: Solve for x
    x = 2,712,763,329.27/51,846.89
  6. Step 6: Final answer
    x = 52,322.58

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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.