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Finding the Fourth Proportional to 52,162.52, 78,243.42 and 20,997.32

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Solution

The fourth proportional to 52,162.52, 78,243.42 and 20,997.32 is: 31,495.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,162.52 : 78,243.42 = 20,997.32 : x
  2. Step 2: Convert to fraction form
    52,162.52/78,243.42 = 20,997.32/x
  3. Step 3: Cross multiply
    52,162.52x = 78,243.42 × 20,997.32
  4. Step 4: Simplify right side
    52,162.52x = 1,642,902,127.63
  5. Step 5: Solve for x
    x = 1,642,902,127.63/52,162.52
  6. Step 6: Final answer
    x = 31,495.84

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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.