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Finding the Fourth Proportional to 33,529.76, 46,272.32 and 20,103.20

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Solution

The fourth proportional to 33,529.76, 46,272.32 and 20,103.20 is: 27,743.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,529.76 : 46,272.32 = 20,103.20 : x
  2. Step 2: Convert to fraction form
    33,529.76/46,272.32 = 20,103.20/x
  3. Step 3: Cross multiply
    33,529.76x = 46,272.32 × 20,103.20
  4. Step 4: Simplify right side
    33,529.76x = 930,221,703.42
  5. Step 5: Solve for x
    x = 930,221,703.42/33,529.76
  6. Step 6: Final answer
    x = 27,743.17

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