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Finding the Fourth Proportional to 57,874.04, 86,814 and 16,324.28

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Solution

The fourth proportional to 57,874.04, 86,814 and 16,324.28 is: 24,487.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,874.04 : 86,814 = 16,324.28 : x
  2. Step 2: Convert to fraction form
    57,874.04/86,814 = 16,324.28/x
  3. Step 3: Cross multiply
    57,874.04x = 86,814 × 16,324.28
  4. Step 4: Simplify right side
    57,874.04x = 1,417,176,043.92
  5. Step 5: Solve for x
    x = 1,417,176,043.92/57,874.04
  6. Step 6: Final answer
    x = 24,487.25

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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.