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Finding the Fourth Proportional to 46,469.16, 69,713.46 and 23,082.84

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Solution

The fourth proportional to 46,469.16, 69,713.46 and 23,082.84 is: 34,629.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,469.16 : 69,713.46 = 23,082.84 : x
  2. Step 2: Convert to fraction form
    46,469.16/69,713.46 = 23,082.84/x
  3. Step 3: Cross multiply
    46,469.16x = 69,713.46 × 23,082.84
  4. Step 4: Simplify right side
    46,469.16x = 1,609,184,643.03
  5. Step 5: Solve for x
    x = 1,609,184,643.03/46,469.16
  6. Step 6: Final answer
    x = 34,629.09

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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.