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Finding the Fourth Proportional to 33,653.86, 50,448.65 and 12,588.19

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Solution

The fourth proportional to 33,653.86, 50,448.65 and 12,588.19 is: 18,870.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,653.86 : 50,448.65 = 12,588.19 : x
  2. Step 2: Convert to fraction form
    33,653.86/50,448.65 = 12,588.19/x
  3. Step 3: Cross multiply
    33,653.86x = 50,448.65 × 12,588.19
  4. Step 4: Simplify right side
    33,653.86x = 635,057,128.50
  5. Step 5: Solve for x
    x = 635,057,128.50/33,653.86
  6. Step 6: Final answer
    x = 18,870.26

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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.