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Finding the Fourth Proportional to 46,626.64, 69,890.16 and 26,593

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Solution

The fourth proportional to 46,626.64, 69,890.16 and 26,593 is: 39,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,626.64 : 69,890.16 = 26,593 : x
  2. Step 2: Convert to fraction form
    46,626.64/69,890.16 = 26,593/x
  3. Step 3: Cross multiply
    46,626.64x = 69,890.16 × 26,593
  4. Step 4: Simplify right side
    46,626.64x = 1,858,589,024.88
  5. Step 5: Solve for x
    x = 1,858,589,024.88/46,626.64
  6. Step 6: Final answer
    x = 39,861.10

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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.