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Finding the Fourth Proportional to 30,954.72, 46,442.21 and 9,898.23

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Solution

The fourth proportional to 30,954.72, 46,442.21 and 9,898.23 is: 14,850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,954.72 : 46,442.21 = 9,898.23 : x
  2. Step 2: Convert to fraction form
    30,954.72/46,442.21 = 9,898.23/x
  3. Step 3: Cross multiply
    30,954.72x = 46,442.21 × 9,898.23
  4. Step 4: Simplify right side
    30,954.72x = 459,695,626.80
  5. Step 5: Solve for x
    x = 459,695,626.80/30,954.72
  6. Step 6: Final answer
    x = 14,850.58

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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.