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Finding the Fourth Proportional to 33,848.91, 50,772.71 and 11,661.80

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Solution

The fourth proportional to 33,848.91, 50,772.71 and 11,661.80 is: 17,492.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,848.91 : 50,772.71 = 11,661.80 : x
  2. Step 2: Convert to fraction form
    33,848.91/50,772.71 = 11,661.80/x
  3. Step 3: Cross multiply
    33,848.91x = 50,772.71 × 11,661.80
  4. Step 4: Simplify right side
    33,848.91x = 592,100,964.77
  5. Step 5: Solve for x
    x = 592,100,964.77/33,848.91
  6. Step 6: Final answer
    x = 17,492.47

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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.