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Finding the Fourth Proportional to 75,814.60, 113,736.48 and 23,224.54

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Solution

The fourth proportional to 75,814.60, 113,736.48 and 23,224.54 is: 34,841.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,814.60 : 113,736.48 = 23,224.54 : x
  2. Step 2: Convert to fraction form
    75,814.60/113,736.48 = 23,224.54/x
  3. Step 3: Cross multiply
    75,814.60x = 113,736.48 × 23,224.54
  4. Step 4: Simplify right side
    75,814.60x = 2,641,477,429.22
  5. Step 5: Solve for x
    x = 2,641,477,429.22/75,814.60
  6. Step 6: Final answer
    x = 34,841.28

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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.