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Finding the Fourth Proportional to 31,313.49, 46,972.46 and 12,593.63

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Solution

The fourth proportional to 31,313.49, 46,972.46 and 12,593.63 is: 18,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313.49 : 46,972.46 = 12,593.63 : x
  2. Step 2: Convert to fraction form
    31,313.49/46,972.46 = 12,593.63/x
  3. Step 3: Cross multiply
    31,313.49x = 46,972.46 × 12,593.63
  4. Step 4: Simplify right side
    31,313.49x = 591,553,483.60
  5. Step 5: Solve for x
    x = 591,553,483.60/31,313.49
  6. Step 6: Final answer
    x = 18,891.33

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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.