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Finding the Fourth Proportional to 30,493.52, 45,730.02 and 10,226.18

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Solution

The fourth proportional to 30,493.52, 45,730.02 and 10,226.18 is: 15,335.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,493.52 : 45,730.02 = 10,226.18 : x
  2. Step 2: Convert to fraction form
    30,493.52/45,730.02 = 10,226.18/x
  3. Step 3: Cross multiply
    30,493.52x = 45,730.02 × 10,226.18
  4. Step 4: Simplify right side
    30,493.52x = 467,643,415.92
  5. Step 5: Solve for x
    x = 467,643,415.92/30,493.52
  6. Step 6: Final answer
    x = 15,335.83

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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.