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Finding the Fourth Proportional to 32,753.09, 49,129.64 and 8,129.09

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Solution

The fourth proportional to 32,753.09, 49,129.64 and 8,129.09 is: 12,193.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,753.09 : 49,129.64 = 8,129.09 : x
  2. Step 2: Convert to fraction form
    32,753.09/49,129.64 = 8,129.09/x
  3. Step 3: Cross multiply
    32,753.09x = 49,129.64 × 8,129.09
  4. Step 4: Simplify right side
    32,753.09x = 399,379,224.58
  5. Step 5: Solve for x
    x = 399,379,224.58/32,753.09
  6. Step 6: Final answer
    x = 12,193.64

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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.