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Finding the Fourth Proportional to 46,502.45, 69,736.96 and 16,099.33

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Solution

The fourth proportional to 46,502.45, 69,736.96 and 16,099.33 is: 24,143.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,502.45 : 69,736.96 = 16,099.33 : x
  2. Step 2: Convert to fraction form
    46,502.45/69,736.96 = 16,099.33/x
  3. Step 3: Cross multiply
    46,502.45x = 69,736.96 × 16,099.33
  4. Step 4: Simplify right side
    46,502.45x = 1,122,718,446.21
  5. Step 5: Solve for x
    x = 1,122,718,446.21/46,502.45
  6. Step 6: Final answer
    x = 24,143.21

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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.