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Finding the Fourth Proportional to 69,977.89, 96,493.26 and 47,277.46

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Solution

The fourth proportional to 69,977.89, 96,493.26 and 47,277.46 is: 65,191.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,977.89 : 96,493.26 = 47,277.46 : x
  2. Step 2: Convert to fraction form
    69,977.89/96,493.26 = 47,277.46/x
  3. Step 3: Cross multiply
    69,977.89x = 96,493.26 × 47,277.46
  4. Step 4: Simplify right side
    69,977.89x = 4,561,956,239.92
  5. Step 5: Solve for x
    x = 4,561,956,239.92/69,977.89
  6. Step 6: Final answer
    x = 65,191.39

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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.