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Finding the Fourth Proportional to 99,462.94, 137,258.85 and 54,750.94

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Solution

The fourth proportional to 99,462.94, 137,258.85 and 54,750.94 is: 75,556.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,462.94 : 137,258.85 = 54,750.94 : x
  2. Step 2: Convert to fraction form
    99,462.94/137,258.85 = 54,750.94/x
  3. Step 3: Cross multiply
    99,462.94x = 137,258.85 × 54,750.94
  4. Step 4: Simplify right side
    99,462.94x = 7,515,050,922.99
  5. Step 5: Solve for x
    x = 7,515,050,922.99/99,462.94
  6. Step 6: Final answer
    x = 75,556.29

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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.