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Finding the Fourth Proportional to 38,096.82, 52,570.98 and 21,099.84

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Solution

The fourth proportional to 38,096.82, 52,570.98 and 21,099.84 is: 29,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,096.82 : 52,570.98 = 21,099.84 : x
  2. Step 2: Convert to fraction form
    38,096.82/52,570.98 = 21,099.84/x
  3. Step 3: Cross multiply
    38,096.82x = 52,570.98 × 21,099.84
  4. Step 4: Simplify right side
    38,096.82x = 1,109,239,266.64
  5. Step 5: Solve for x
    x = 1,109,239,266.64/38,096.82
  6. Step 6: Final answer
    x = 29,116.32

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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.