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Finding the Fourth Proportional to 32,943.30, 49,415.07 and 7,983.30

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Solution

The fourth proportional to 32,943.30, 49,415.07 and 7,983.30 is: 11,974.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,943.30 : 49,415.07 = 7,983.30 : x
  2. Step 2: Convert to fraction form
    32,943.30/49,415.07 = 7,983.30/x
  3. Step 3: Cross multiply
    32,943.30x = 49,415.07 × 7,983.30
  4. Step 4: Simplify right side
    32,943.30x = 394,495,328.33
  5. Step 5: Solve for x
    x = 394,495,328.33/32,943.30
  6. Step 6: Final answer
    x = 11,974.98

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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.