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Finding the Fourth Proportional to 30,773.63, 46,151.34 and 8,581.66

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Solution

The fourth proportional to 30,773.63, 46,151.34 and 8,581.66 is: 12,869.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,773.63 : 46,151.34 = 8,581.66 : x
  2. Step 2: Convert to fraction form
    30,773.63/46,151.34 = 8,581.66/x
  3. Step 3: Cross multiply
    30,773.63x = 46,151.34 × 8,581.66
  4. Step 4: Simplify right side
    30,773.63x = 396,054,960.86
  5. Step 5: Solve for x
    x = 396,054,960.86/30,773.63
  6. Step 6: Final answer
    x = 12,869.95

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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.