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Finding the Fourth Proportional to 33,970.63, 50,727.18 and 27,742.99

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Solution

The fourth proportional to 33,970.63, 50,727.18 and 27,742.99 is: 41,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970.63 : 50,727.18 = 27,742.99 : x
  2. Step 2: Convert to fraction form
    33,970.63/50,727.18 = 27,742.99/x
  3. Step 3: Cross multiply
    33,970.63x = 50,727.18 × 27,742.99
  4. Step 4: Simplify right side
    33,970.63x = 1,407,323,508.75
  5. Step 5: Solve for x
    x = 1,407,323,508.75/33,970.63
  6. Step 6: Final answer
    x = 41,427.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.