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Finding the Fourth Proportional to 33,841.71, 50,735.19 and 14,135.02

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Solution

The fourth proportional to 33,841.71, 50,735.19 and 14,135.02 is: 21,191.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,841.71 : 50,735.19 = 14,135.02 : x
  2. Step 2: Convert to fraction form
    33,841.71/50,735.19 = 14,135.02/x
  3. Step 3: Cross multiply
    33,841.71x = 50,735.19 × 14,135.02
  4. Step 4: Simplify right side
    33,841.71x = 717,142,925.35
  5. Step 5: Solve for x
    x = 717,142,925.35/33,841.71
  6. Step 6: Final answer
    x = 21,191.10

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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.