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Finding the Fourth Proportional to 68,674.50, 102,999.60 and 31,225.77

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Solution

The fourth proportional to 68,674.50, 102,999.60 and 31,225.77 is: 46,833.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,674.50 : 102,999.60 = 31,225.77 : x
  2. Step 2: Convert to fraction form
    68,674.50/102,999.60 = 31,225.77/x
  3. Step 3: Cross multiply
    68,674.50x = 102,999.60 × 31,225.77
  4. Step 4: Simplify right side
    68,674.50x = 3,216,241,819.69
  5. Step 5: Solve for x
    x = 3,216,241,819.69/68,674.50
  6. Step 6: Final answer
    x = 46,833.13

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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.