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Finding the Fourth Proportional to 35,950.77, 49,614.24 and 20,035.19

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Solution

The fourth proportional to 35,950.77, 49,614.24 and 20,035.19 is: 27,649.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,950.77 : 49,614.24 = 20,035.19 : x
  2. Step 2: Convert to fraction form
    35,950.77/49,614.24 = 20,035.19/x
  3. Step 3: Cross multiply
    35,950.77x = 49,614.24 × 20,035.19
  4. Step 4: Simplify right side
    35,950.77x = 994,030,477.03
  5. Step 5: Solve for x
    x = 994,030,477.03/35,950.77
  6. Step 6: Final answer
    x = 27,649.77

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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.