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Finding the Fourth Proportional to 31,913.37, 47,873.25 and 12,208.50

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Solution

The fourth proportional to 31,913.37, 47,873.25 and 12,208.50 is: 18,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,913.37 : 47,873.25 = 12,208.50 : x
  2. Step 2: Convert to fraction form
    31,913.37/47,873.25 = 12,208.50/x
  3. Step 3: Cross multiply
    31,913.37x = 47,873.25 × 12,208.50
  4. Step 4: Simplify right side
    31,913.37x = 584,460,572.63
  5. Step 5: Solve for x
    x = 584,460,572.63/31,913.37
  6. Step 6: Final answer
    x = 18,313.97

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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.