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Finding the Fourth Proportional to 75,224.30, 103,804.74 and 41,226.77

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Solution

The fourth proportional to 75,224.30, 103,804.74 and 41,226.77 is: 56,890.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,224.30 : 103,804.74 = 41,226.77 : x
  2. Step 2: Convert to fraction form
    75,224.30/103,804.74 = 41,226.77/x
  3. Step 3: Cross multiply
    75,224.30x = 103,804.74 × 41,226.77
  4. Step 4: Simplify right side
    75,224.30x = 4,279,534,400.40
  5. Step 5: Solve for x
    x = 4,279,534,400.40/75,224.30
  6. Step 6: Final answer
    x = 56,890.32

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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.