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Finding the Fourth Proportional to 85,050, 127,576.08 and 29,646

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Solution

The fourth proportional to 85,050, 127,576.08 and 29,646 is: 44,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,050 : 127,576.08 = 29,646 : x
  2. Step 2: Convert to fraction form
    85,050/127,576.08 = 29,646/x
  3. Step 3: Cross multiply
    85,050x = 127,576.08 × 29,646
  4. Step 4: Simplify right side
    85,050x = 3,782,120,467.68
  5. Step 5: Solve for x
    x = 3,782,120,467.68/85,050
  6. Step 6: Final answer
    x = 44,469.38

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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.