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Finding the Fourth Proportional to 38,096.82, 52,576.58 and 21,969.32

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Solution

The fourth proportional to 38,096.82, 52,576.58 and 21,969.32 is: 30,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.82 : 52,576.58 = 21,969.32 : x
  2. Step 2: Convert to fraction form
    38,096.82/52,576.58 = 21,969.32/x
  3. Step 3: Cross multiply
    38,096.82x = 52,576.58 × 21,969.32
  4. Step 4: Simplify right side
    38,096.82x = 1,155,071,502.57
  5. Step 5: Solve for x
    x = 1,155,071,502.57/38,096.82
  6. Step 6: Final answer
    x = 30,319.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.