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Finding the Fourth Proportional to 99,751, 137,656.38 and 55,039

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Solution

The fourth proportional to 99,751, 137,656.38 and 55,039 is: 75,953.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,751 : 137,656.38 = 55,039 : x
  2. Step 2: Convert to fraction form
    99,751/137,656.38 = 55,039/x
  3. Step 3: Cross multiply
    99,751x = 137,656.38 × 55,039
  4. Step 4: Simplify right side
    99,751x = 7,576,469,498.82
  5. Step 5: Solve for x
    x = 7,576,469,498.82/99,751
  6. Step 6: Final answer
    x = 75,953.82

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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.