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Finding the Fourth Proportional to 32,269.44, 44,410.46 and 27,299

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Solution

The fourth proportional to 32,269.44, 44,410.46 and 27,299 is: 37,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,269.44 : 44,410.46 = 27,299 : x
  2. Step 2: Convert to fraction form
    32,269.44/44,410.46 = 27,299/x
  3. Step 3: Cross multiply
    32,269.44x = 44,410.46 × 27,299
  4. Step 4: Simplify right side
    32,269.44x = 1,212,361,147.54
  5. Step 5: Solve for x
    x = 1,212,361,147.54/32,269.44
  6. Step 6: Final answer
    x = 37,569.95

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1.5x scale

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.