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Finding the Fourth Proportional to 38,576.96, 53,236.68 and 21,809.60

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Solution

The fourth proportional to 38,576.96, 53,236.68 and 21,809.60 is: 30,097.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,576.96 : 53,236.68 = 21,809.60 : x
  2. Step 2: Convert to fraction form
    38,576.96/53,236.68 = 21,809.60/x
  3. Step 3: Cross multiply
    38,576.96x = 53,236.68 × 21,809.60
  4. Step 4: Simplify right side
    38,576.96x = 1,161,070,696.13
  5. Step 5: Solve for x
    x = 1,161,070,696.13/38,576.96
  6. Step 6: Final answer
    x = 30,097.52

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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.