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Finding the Fourth Proportional to 53,451.68, 73,762.22 and 29,578.34

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Solution

The fourth proportional to 53,451.68, 73,762.22 and 29,578.34 is: 40,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,451.68 : 73,762.22 = 29,578.34 : x
  2. Step 2: Convert to fraction form
    53,451.68/73,762.22 = 29,578.34/x
  3. Step 3: Cross multiply
    53,451.68x = 73,762.22 × 29,578.34
  4. Step 4: Simplify right side
    53,451.68x = 2,181,763,874.42
  5. Step 5: Solve for x
    x = 2,181,763,874.42/53,451.68
  6. Step 6: Final answer
    x = 40,817.50

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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.