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Finding the Fourth Proportional to 30,431.20, 45,643.20 and 8,243.20

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Solution

The fourth proportional to 30,431.20, 45,643.20 and 8,243.20 is: 12,363.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.20 : 45,643.20 = 8,243.20 : x
  2. Step 2: Convert to fraction form
    30,431.20/45,643.20 = 8,243.20/x
  3. Step 3: Cross multiply
    30,431.20x = 45,643.20 × 8,243.20
  4. Step 4: Simplify right side
    30,431.20x = 376,246,026.24
  5. Step 5: Solve for x
    x = 376,246,026.24/30,431.20
  6. Step 6: Final answer
    x = 12,363.82

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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.