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Finding the Fourth Proportional to 38,578.52, 53,248.14 and 21,821.24

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Solution

The fourth proportional to 38,578.52, 53,248.14 and 21,821.24 is: 30,118.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578.52 : 53,248.14 = 21,821.24 : x
  2. Step 2: Convert to fraction form
    38,578.52/53,248.14 = 21,821.24/x
  3. Step 3: Cross multiply
    38,578.52x = 53,248.14 × 21,821.24
  4. Step 4: Simplify right side
    38,578.52x = 1,161,940,442.49
  5. Step 5: Solve for x
    x = 1,161,940,442.49/38,578.52
  6. Step 6: Final answer
    x = 30,118.84

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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.