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Finding the Fourth Proportional to 38,820.33, 53,570.88 and 21,824.24

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Solution

The fourth proportional to 38,820.33, 53,570.88 and 21,824.24 is: 30,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,820.33 : 53,570.88 = 21,824.24 : x
  2. Step 2: Convert to fraction form
    38,820.33/53,570.88 = 21,824.24/x
  3. Step 3: Cross multiply
    38,820.33x = 53,570.88 × 21,824.24
  4. Step 4: Simplify right side
    38,820.33x = 1,169,143,474.28
  5. Step 5: Solve for x
    x = 1,169,143,474.28/38,820.33
  6. Step 6: Final answer
    x = 30,116.78

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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.