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Finding the Fourth Proportional to 46,313.46, 69,563.27 and 27,630

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Solution

The fourth proportional to 46,313.46, 69,563.27 and 27,630 is: 41,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,313.46 : 69,563.27 = 27,630 : x
  2. Step 2: Convert to fraction form
    46,313.46/69,563.27 = 27,630/x
  3. Step 3: Cross multiply
    46,313.46x = 69,563.27 × 27,630
  4. Step 4: Simplify right side
    46,313.46x = 1,922,033,150.10
  5. Step 5: Solve for x
    x = 1,922,033,150.10/46,313.46
  6. Step 6: Final answer
    x = 41,500.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.