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Finding the Fourth Proportional to 49,682.86, 74,451.84 and 23,037

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Solution

The fourth proportional to 49,682.86, 74,451.84 and 23,037 is: 34,521.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,682.86 : 74,451.84 = 23,037 : x
  2. Step 2: Convert to fraction form
    49,682.86/74,451.84 = 23,037/x
  3. Step 3: Cross multiply
    49,682.86x = 74,451.84 × 23,037
  4. Step 4: Simplify right side
    49,682.86x = 1,715,147,038.08
  5. Step 5: Solve for x
    x = 1,715,147,038.08/49,682.86
  6. Step 6: Final answer
    x = 34,521.91

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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.