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Finding the Fourth Proportional to 32,667.52, 49,012.80 and 11,893.12

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Solution

The fourth proportional to 32,667.52, 49,012.80 and 11,893.12 is: 17,843.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,667.52 : 49,012.80 = 11,893.12 : x
  2. Step 2: Convert to fraction form
    32,667.52/49,012.80 = 11,893.12/x
  3. Step 3: Cross multiply
    32,667.52x = 49,012.80 × 11,893.12
  4. Step 4: Simplify right side
    32,667.52x = 582,915,111.94
  5. Step 5: Solve for x
    x = 582,915,111.94/32,667.52
  6. Step 6: Final answer
    x = 17,843.87

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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.