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Finding the Fourth Proportional to 38,245.84, 52,771.13 and 22,323.11

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Solution

The fourth proportional to 38,245.84, 52,771.13 and 22,323.11 is: 30,801.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,245.84 : 52,771.13 = 22,323.11 : x
  2. Step 2: Convert to fraction form
    38,245.84/52,771.13 = 22,323.11/x
  3. Step 3: Cross multiply
    38,245.84x = 52,771.13 × 22,323.11
  4. Step 4: Simplify right side
    38,245.84x = 1,178,015,448.05
  5. Step 5: Solve for x
    x = 1,178,015,448.05/38,245.84
  6. Step 6: Final answer
    x = 30,801.14

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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.