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Finding the Fourth Proportional to 56,096, 84,143.34 and 16,115.95

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Solution

The fourth proportional to 56,096, 84,143.34 and 16,115.95 is: 24,173.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,096 : 84,143.34 = 16,115.95 : x
  2. Step 2: Convert to fraction form
    56,096/84,143.34 = 16,115.95/x
  3. Step 3: Cross multiply
    56,096x = 84,143.34 × 16,115.95
  4. Step 4: Simplify right side
    56,096x = 1,356,049,860.27
  5. Step 5: Solve for x
    x = 1,356,049,860.27/56,096
  6. Step 6: Final answer
    x = 24,173.74

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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.