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Finding the Fourth Proportional to 57,876.64, 86,814.06 and 18,433.42

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Solution

The fourth proportional to 57,876.64, 86,814.06 and 18,433.42 is: 27,649.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,876.64 : 86,814.06 = 18,433.42 : x
  2. Step 2: Convert to fraction form
    57,876.64/86,814.06 = 18,433.42/x
  3. Step 3: Cross multiply
    57,876.64x = 86,814.06 × 18,433.42
  4. Step 4: Simplify right side
    57,876.64x = 1,600,280,029.89
  5. Step 5: Solve for x
    x = 1,600,280,029.89/57,876.64
  6. Step 6: Final answer
    x = 27,649.84

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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.