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Finding the Fourth Proportional to 38,024.76, 52,474.32 and 21,257.76

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Solution

The fourth proportional to 38,024.76, 52,474.32 and 21,257.76 is: 29,335.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,024.76 : 52,474.32 = 21,257.76 : x
  2. Step 2: Convert to fraction form
    38,024.76/52,474.32 = 21,257.76/x
  3. Step 3: Cross multiply
    38,024.76x = 52,474.32 × 21,257.76
  4. Step 4: Simplify right side
    38,024.76x = 1,115,486,500.72
  5. Step 5: Solve for x
    x = 1,115,486,500.72/38,024.76
  6. Step 6: Final answer
    x = 29,335.79

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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.