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Finding the Fourth Proportional to 69,117.99, 103,676.30 and 31,667.44

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Solution

The fourth proportional to 69,117.99, 103,676.30 and 31,667.44 is: 47,500.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,117.99 : 103,676.30 = 31,667.44 : x
  2. Step 2: Convert to fraction form
    69,117.99/103,676.30 = 31,667.44/x
  3. Step 3: Cross multiply
    69,117.99x = 103,676.30 × 31,667.44
  4. Step 4: Simplify right side
    69,117.99x = 3,283,163,009.67
  5. Step 5: Solve for x
    x = 3,283,163,009.67/69,117.99
  6. Step 6: Final answer
    x = 47,500.85

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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.