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Finding the Fourth Proportional to 77,072.54, 115,530 and 43,722.15

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Solution

The fourth proportional to 77,072.54, 115,530 and 43,722.15 is: 65,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,072.54 : 115,530 = 43,722.15 : x
  2. Step 2: Convert to fraction form
    77,072.54/115,530 = 43,722.15/x
  3. Step 3: Cross multiply
    77,072.54x = 115,530 × 43,722.15
  4. Step 4: Simplify right side
    77,072.54x = 5,051,219,989.50
  5. Step 5: Solve for x
    x = 5,051,219,989.50/77,072.54
  6. Step 6: Final answer
    x = 65,538.52

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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.