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Finding the Fourth Proportional to 29,280.22, 43,874.34 and 22,633

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Solution

The fourth proportional to 29,280.22, 43,874.34 and 22,633 is: 33,913.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,280.22 : 43,874.34 = 22,633 : x
  2. Step 2: Convert to fraction form
    29,280.22/43,874.34 = 22,633/x
  3. Step 3: Cross multiply
    29,280.22x = 43,874.34 × 22,633
  4. Step 4: Simplify right side
    29,280.22x = 993,007,937.22
  5. Step 5: Solve for x
    x = 993,007,937.22/29,280.22
  6. Step 6: Final answer
    x = 33,913.95

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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.