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Finding the Fourth Proportional to 57,967.75, 86,959.05 and 16,414.75

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Solution

The fourth proportional to 57,967.75, 86,959.05 and 16,414.75 is: 24,624.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,967.75 : 86,959.05 = 16,414.75 : x
  2. Step 2: Convert to fraction form
    57,967.75/86,959.05 = 16,414.75/x
  3. Step 3: Cross multiply
    57,967.75x = 86,959.05 × 16,414.75
  4. Step 4: Simplify right side
    57,967.75x = 1,427,411,065.99
  5. Step 5: Solve for x
    x = 1,427,411,065.99/57,967.75
  6. Step 6: Final answer
    x = 24,624.23

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Why These Related Problems?

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