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Finding the Fourth Proportional to 38,818.52, 53,568.31 and 21,823.48

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Solution

The fourth proportional to 38,818.52, 53,568.31 and 21,823.48 is: 30,115.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,818.52 : 53,568.31 = 21,823.48 : x
  2. Step 2: Convert to fraction form
    38,818.52/53,568.31 = 21,823.48/x
  3. Step 3: Cross multiply
    38,818.52x = 53,568.31 × 21,823.48
  4. Step 4: Simplify right side
    38,818.52x = 1,169,046,755.30
  5. Step 5: Solve for x
    x = 1,169,046,755.30/38,818.52
  6. Step 6: Final answer
    x = 30,115.70

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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.