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Finding the Fourth Proportional to 30,410.02, 45,584 and 17,234.56

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Solution

The fourth proportional to 30,410.02, 45,584 and 17,234.56 is: 25,834.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,410.02 : 45,584 = 17,234.56 : x
  2. Step 2: Convert to fraction form
    30,410.02/45,584 = 17,234.56/x
  3. Step 3: Cross multiply
    30,410.02x = 45,584 × 17,234.56
  4. Step 4: Simplify right side
    30,410.02x = 785,620,183.04
  5. Step 5: Solve for x
    x = 785,620,183.04/30,410.02
  6. Step 6: Final answer
    x = 25,834.25

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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.