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Finding the Fourth Proportional to 38,689.24, 53,391.06 and 21,922.24

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Solution

The fourth proportional to 38,689.24, 53,391.06 and 21,922.24 is: 30,252.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,689.24 : 53,391.06 = 21,922.24 : x
  2. Step 2: Convert to fraction form
    38,689.24/53,391.06 = 21,922.24/x
  3. Step 3: Cross multiply
    38,689.24x = 53,391.06 × 21,922.24
  4. Step 4: Simplify right side
    38,689.24x = 1,170,451,631.17
  5. Step 5: Solve for x
    x = 1,170,451,631.17/38,689.24
  6. Step 6: Final answer
    x = 30,252.64

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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.