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Finding the Fourth Proportional to 49,082, 67,733.16 and 29,210

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Solution

The fourth proportional to 49,082, 67,733.16 and 29,210 is: 40,309.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,082 : 67,733.16 = 29,210 : x
  2. Step 2: Convert to fraction form
    49,082/67,733.16 = 29,210/x
  3. Step 3: Cross multiply
    49,082x = 67,733.16 × 29,210
  4. Step 4: Simplify right side
    49,082x = 1,978,485,603.60
  5. Step 5: Solve for x
    x = 1,978,485,603.60/49,082
  6. Step 6: Final answer
    x = 40,309.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.