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Finding the Fourth Proportional to 40,137.24, 55,400.94 and 24,219

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Solution

The fourth proportional to 40,137.24, 55,400.94 and 24,219 is: 33,429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,137.24 : 55,400.94 = 24,219 : x
  2. Step 2: Convert to fraction form
    40,137.24/55,400.94 = 24,219/x
  3. Step 3: Cross multiply
    40,137.24x = 55,400.94 × 24,219
  4. Step 4: Simplify right side
    40,137.24x = 1,341,755,365.86
  5. Step 5: Solve for x
    x = 1,341,755,365.86/40,137.24
  6. Step 6: Final answer
    x = 33,429.19

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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.