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Finding the Fourth Proportional to 38,098.67, 52,574.31 and 21,101.76

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Solution

The fourth proportional to 38,098.67, 52,574.31 and 21,101.76 is: 29,119.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,098.67 : 52,574.31 = 21,101.76 : x
  2. Step 2: Convert to fraction form
    38,098.67/52,574.31 = 21,101.76/x
  3. Step 3: Cross multiply
    38,098.67x = 52,574.31 × 21,101.76
  4. Step 4: Simplify right side
    38,098.67x = 1,109,410,471.79
  5. Step 5: Solve for x
    x = 1,109,410,471.79/38,098.67
  6. Step 6: Final answer
    x = 29,119.41

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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.