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Finding the Fourth Proportional to 30,107.13, 41,544.46 and 16,675

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Solution

The fourth proportional to 30,107.13, 41,544.46 and 16,675 is: 23,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,107.13 : 41,544.46 = 16,675 : x
  2. Step 2: Convert to fraction form
    30,107.13/41,544.46 = 16,675/x
  3. Step 3: Cross multiply
    30,107.13x = 41,544.46 × 16,675
  4. Step 4: Simplify right side
    30,107.13x = 692,753,870.50
  5. Step 5: Solve for x
    x = 692,753,870.50/30,107.13
  6. Step 6: Final answer
    x = 23,009.63

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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.