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Finding the Fourth Proportional to 41,438.49, 62,164.36 and 16,478.74

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Solution

The fourth proportional to 41,438.49, 62,164.36 and 16,478.74 is: 24,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,438.49 : 62,164.36 = 16,478.74 : x
  2. Step 2: Convert to fraction form
    41,438.49/62,164.36 = 16,478.74/x
  3. Step 3: Cross multiply
    41,438.49x = 62,164.36 × 16,478.74
  4. Step 4: Simplify right side
    41,438.49x = 1,024,390,424.01
  5. Step 5: Solve for x
    x = 1,024,390,424.01/41,438.49
  6. Step 6: Final answer
    x = 24,720.75

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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.