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Finding the Fourth Proportional to 33,729.75, 46,503.79 and 27,657.62

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Solution

The fourth proportional to 33,729.75, 46,503.79 and 27,657.62 is: 38,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,729.75 : 46,503.79 = 27,657.62 : x
  2. Step 2: Convert to fraction form
    33,729.75/46,503.79 = 27,657.62/x
  3. Step 3: Cross multiply
    33,729.75x = 46,503.79 × 27,657.62
  4. Step 4: Simplify right side
    33,729.75x = 1,286,184,025.11
  5. Step 5: Solve for x
    x = 1,286,184,025.11/33,729.75
  6. Step 6: Final answer
    x = 38,132.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.