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Finding the Fourth Proportional to 34,022.80, 46,899.24 and 22,084.24

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Solution

The fourth proportional to 34,022.80, 46,899.24 and 22,084.24 is: 30,442.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,022.80 : 46,899.24 = 22,084.24 : x
  2. Step 2: Convert to fraction form
    34,022.80/46,899.24 = 22,084.24/x
  3. Step 3: Cross multiply
    34,022.80x = 46,899.24 × 22,084.24
  4. Step 4: Simplify right side
    34,022.80x = 1,035,734,071.98
  5. Step 5: Solve for x
    x = 1,035,734,071.98/34,022.80
  6. Step 6: Final answer
    x = 30,442.35

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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.