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Finding the Fourth Proportional to 57,894.86, 86,839.64 and 24,146.94

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Solution

The fourth proportional to 57,894.86, 86,839.64 and 24,146.94 is: 36,219.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,894.86 : 86,839.64 = 24,146.94 : x
  2. Step 2: Convert to fraction form
    57,894.86/86,839.64 = 24,146.94/x
  3. Step 3: Cross multiply
    57,894.86x = 86,839.64 × 24,146.94
  4. Step 4: Simplify right side
    57,894.86x = 2,096,911,576.70
  5. Step 5: Solve for x
    x = 2,096,911,576.70/57,894.86
  6. Step 6: Final answer
    x = 36,219.30

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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.