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Finding the Fourth Proportional to 49,199.92, 67,906 and 31,291.50

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Solution

The fourth proportional to 49,199.92, 67,906 and 31,291.50 is: 43,188.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,199.92 : 67,906 = 31,291.50 : x
  2. Step 2: Convert to fraction form
    49,199.92/67,906 = 31,291.50/x
  3. Step 3: Cross multiply
    49,199.92x = 67,906 × 31,291.50
  4. Step 4: Simplify right side
    49,199.92x = 2,124,880,599
  5. Step 5: Solve for x
    x = 2,124,880,599/49,199.92
  6. Step 6: Final answer
    x = 43,188.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.