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Finding the Fourth Proportional to 38,221.84, 52,743.66 and 21,224.74

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Solution

The fourth proportional to 38,221.84, 52,743.66 and 21,224.74 is: 29,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,221.84 : 52,743.66 = 21,224.74 : x
  2. Step 2: Convert to fraction form
    38,221.84/52,743.66 = 21,224.74/x
  3. Step 3: Cross multiply
    38,221.84x = 52,743.66 × 21,224.74
  4. Step 4: Simplify right side
    38,221.84x = 1,119,470,470.15
  5. Step 5: Solve for x
    x = 1,119,470,470.15/38,221.84
  6. Step 6: Final answer
    x = 29,288.76

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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.