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Finding the Fourth Proportional to 57,916.50, 86,874.75 and 16,364.58

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Solution

The fourth proportional to 57,916.50, 86,874.75 and 16,364.58 is: 24,546.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,916.50 : 86,874.75 = 16,364.58 : x
  2. Step 2: Convert to fraction form
    57,916.50/86,874.75 = 16,364.58/x
  3. Step 3: Cross multiply
    57,916.50x = 86,874.75 × 16,364.58
  4. Step 4: Simplify right side
    57,916.50x = 1,421,668,796.36
  5. Step 5: Solve for x
    x = 1,421,668,796.36/57,916.50
  6. Step 6: Final answer
    x = 24,546.87

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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.