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Finding the Fourth Proportional to 75,884.49, 113,856.30 and 31,500

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Solution

The fourth proportional to 75,884.49, 113,856.30 and 31,500 is: 47,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,884.49 : 113,856.30 = 31,500 : x
  2. Step 2: Convert to fraction form
    75,884.49/113,856.30 = 31,500/x
  3. Step 3: Cross multiply
    75,884.49x = 113,856.30 × 31,500
  4. Step 4: Simplify right side
    75,884.49x = 3,586,473,450
  5. Step 5: Solve for x
    x = 3,586,473,450/75,884.49
  6. Step 6: Final answer
    x = 47,262.27

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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.