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Finding the Fourth Proportional to 57,464.42, 86,196.64 and 15,911.42

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Solution

The fourth proportional to 57,464.42, 86,196.64 and 15,911.42 is: 23,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,464.42 : 86,196.64 = 15,911.42 : x
  2. Step 2: Convert to fraction form
    57,464.42/86,196.64 = 15,911.42/x
  3. Step 3: Cross multiply
    57,464.42x = 86,196.64 × 15,911.42
  4. Step 4: Simplify right side
    57,464.42x = 1,371,510,470.87
  5. Step 5: Solve for x
    x = 1,371,510,470.87/57,464.42
  6. Step 6: Final answer
    x = 23,867.13

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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.