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Finding the Fourth Proportional to 30,898.10, 46,361 and 14,249.21

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Solution

The fourth proportional to 30,898.10, 46,361 and 14,249.21 is: 21,380.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,898.10 : 46,361 = 14,249.21 : x
  2. Step 2: Convert to fraction form
    30,898.10/46,361 = 14,249.21/x
  3. Step 3: Cross multiply
    30,898.10x = 46,361 × 14,249.21
  4. Step 4: Simplify right side
    30,898.10x = 660,607,624.81
  5. Step 5: Solve for x
    x = 660,607,624.81/30,898.10
  6. Step 6: Final answer
    x = 21,380.20

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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.