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Finding the Fourth Proportional to 38,219.87, 57,339.70 and 14,527.82

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Solution

The fourth proportional to 38,219.87, 57,339.70 and 14,527.82 is: 21,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,219.87 : 57,339.70 = 14,527.82 : x
  2. Step 2: Convert to fraction form
    38,219.87/57,339.70 = 14,527.82/x
  3. Step 3: Cross multiply
    38,219.87x = 57,339.70 × 14,527.82
  4. Step 4: Simplify right side
    38,219.87x = 833,020,517.44
  5. Step 5: Solve for x
    x = 833,020,517.44/38,219.87
  6. Step 6: Final answer
    x = 21,795.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.