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Finding the Fourth Proportional to 32,843.84, 49,243.24 and 11,783.44

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Solution

The fourth proportional to 32,843.84, 49,243.24 and 11,783.44 is: 17,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,843.84 : 49,243.24 = 11,783.44 : x
  2. Step 2: Convert to fraction form
    32,843.84/49,243.24 = 11,783.44/x
  3. Step 3: Cross multiply
    32,843.84x = 49,243.24 × 11,783.44
  4. Step 4: Simplify right side
    32,843.84x = 580,254,763.95
  5. Step 5: Solve for x
    x = 580,254,763.95/32,843.84
  6. Step 6: Final answer
    x = 17,667.08

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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.