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Finding the Fourth Proportional to 53,074.50, 73,242.11 and 29,200.67

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Solution

The fourth proportional to 53,074.50, 73,242.11 and 29,200.67 is: 40,296.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,074.50 : 73,242.11 = 29,200.67 : x
  2. Step 2: Convert to fraction form
    53,074.50/73,242.11 = 29,200.67/x
  3. Step 3: Cross multiply
    53,074.50x = 73,242.11 × 29,200.67
  4. Step 4: Simplify right side
    53,074.50x = 2,138,718,172.00
  5. Step 5: Solve for x
    x = 2,138,718,172.00/53,074.50
  6. Step 6: Final answer
    x = 40,296.53

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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.