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Finding the Fourth Proportional to 117,446.94, 176,188.32 and 38,542.50

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Solution

The fourth proportional to 117,446.94, 176,188.32 and 38,542.50 is: 57,819.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,446.94 : 176,188.32 = 38,542.50 : x
  2. Step 2: Convert to fraction form
    117,446.94/176,188.32 = 38,542.50/x
  3. Step 3: Cross multiply
    117,446.94x = 176,188.32 × 38,542.50
  4. Step 4: Simplify right side
    117,446.94x = 6,790,738,323.60
  5. Step 5: Solve for x
    x = 6,790,738,323.60/117,446.94
  6. Step 6: Final answer
    x = 57,819.63

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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.