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Finding the Fourth Proportional to 38,734.42, 53,435.74 and 22,811.24

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Solution

The fourth proportional to 38,734.42, 53,435.74 and 22,811.24 is: 31,469.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,734.42 : 53,435.74 = 22,811.24 : x
  2. Step 2: Convert to fraction form
    38,734.42/53,435.74 = 22,811.24/x
  3. Step 3: Cross multiply
    38,734.42x = 53,435.74 × 22,811.24
  4. Step 4: Simplify right side
    38,734.42x = 1,218,935,489.72
  5. Step 5: Solve for x
    x = 1,218,935,489.72/38,734.42
  6. Step 6: Final answer
    x = 31,469.05

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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.