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Finding the Fourth Proportional to 30,134.80, 45,205.34 and 10,410.82

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Solution

The fourth proportional to 30,134.80, 45,205.34 and 10,410.82 is: 15,617.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,134.80 : 45,205.34 = 10,410.82 : x
  2. Step 2: Convert to fraction form
    30,134.80/45,205.34 = 10,410.82/x
  3. Step 3: Cross multiply
    30,134.80x = 45,205.34 × 10,410.82
  4. Step 4: Simplify right side
    30,134.80x = 470,624,657.78
  5. Step 5: Solve for x
    x = 470,624,657.78/30,134.80
  6. Step 6: Final answer
    x = 15,617.31

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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.