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Finding the Fourth Proportional to 32,758.31, 49,137.48 and 8,134.31

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Solution

The fourth proportional to 32,758.31, 49,137.48 and 8,134.31 is: 12,201.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,758.31 : 49,137.48 = 8,134.31 : x
  2. Step 2: Convert to fraction form
    32,758.31/49,137.48 = 8,134.31/x
  3. Step 3: Cross multiply
    32,758.31x = 49,137.48 × 8,134.31
  4. Step 4: Simplify right side
    32,758.31x = 399,699,617.78
  5. Step 5: Solve for x
    x = 399,699,617.78/32,758.31
  6. Step 6: Final answer
    x = 12,201.47

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1.5x scale

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.