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Finding the Fourth Proportional to 31,920.49, 47,850.94 and 10,846.11

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Solution

The fourth proportional to 31,920.49, 47,850.94 and 10,846.11 is: 16,259.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.49 : 47,850.94 = 10,846.11 : x
  2. Step 2: Convert to fraction form
    31,920.49/47,850.94 = 10,846.11/x
  3. Step 3: Cross multiply
    31,920.49x = 47,850.94 × 10,846.11
  4. Step 4: Simplify right side
    31,920.49x = 518,996,558.84
  5. Step 5: Solve for x
    x = 518,996,558.84/31,920.49
  6. Step 6: Final answer
    x = 16,259.04

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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.