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Finding the Fourth Proportional to 56,286.48, 84,346.16 and 31,292.14

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Solution

The fourth proportional to 56,286.48, 84,346.16 and 31,292.14 is: 46,891.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,286.48 : 84,346.16 = 31,292.14 : x
  2. Step 2: Convert to fraction form
    56,286.48/84,346.16 = 31,292.14/x
  3. Step 3: Cross multiply
    56,286.48x = 84,346.16 × 31,292.14
  4. Step 4: Simplify right side
    56,286.48x = 2,639,371,847.18
  5. Step 5: Solve for x
    x = 2,639,371,847.18/56,286.48
  6. Step 6: Final answer
    x = 46,891.76

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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.