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Finding the Fourth Proportional to 46,295.84, 69,447 and 22,916

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Solution

The fourth proportional to 46,295.84, 69,447 and 22,916 is: 34,375.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,295.84 : 69,447 = 22,916 : x
  2. Step 2: Convert to fraction form
    46,295.84/69,447 = 22,916/x
  3. Step 3: Cross multiply
    46,295.84x = 69,447 × 22,916
  4. Step 4: Simplify right side
    46,295.84x = 1,591,447,452
  5. Step 5: Solve for x
    x = 1,591,447,452/46,295.84
  6. Step 6: Final answer
    x = 34,375.60

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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.