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Finding the Fourth Proportional to 46,039.56, 69,057.72 and 14,874

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Solution

The fourth proportional to 46,039.56, 69,057.72 and 14,874 is: 22,310.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,039.56 : 69,057.72 = 14,874 : x
  2. Step 2: Convert to fraction form
    46,039.56/69,057.72 = 14,874/x
  3. Step 3: Cross multiply
    46,039.56x = 69,057.72 × 14,874
  4. Step 4: Simplify right side
    46,039.56x = 1,027,164,527.28
  5. Step 5: Solve for x
    x = 1,027,164,527.28/46,039.56
  6. Step 6: Final answer
    x = 22,310.48

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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.