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Finding the Fourth Proportional to 78,372.86, 117,563.72 and 25,069.50

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Solution

The fourth proportional to 78,372.86, 117,563.72 and 25,069.50 is: 37,605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,372.86 : 117,563.72 = 25,069.50 : x
  2. Step 2: Convert to fraction form
    78,372.86/117,563.72 = 25,069.50/x
  3. Step 3: Cross multiply
    78,372.86x = 117,563.72 × 25,069.50
  4. Step 4: Simplify right side
    78,372.86x = 2,947,263,553.19
  5. Step 5: Solve for x
    x = 2,947,263,553.19/78,372.86
  6. Step 6: Final answer
    x = 37,605.67

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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.