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Finding the Fourth Proportional to 35,935.86, 49,591.47 and 20,021.32

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Solution

The fourth proportional to 35,935.86, 49,591.47 and 20,021.32 is: 27,629.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,935.86 : 49,591.47 = 20,021.32 : x
  2. Step 2: Convert to fraction form
    35,935.86/49,591.47 = 20,021.32/x
  3. Step 3: Cross multiply
    35,935.86x = 49,591.47 × 20,021.32
  4. Step 4: Simplify right side
    35,935.86x = 992,886,690.14
  5. Step 5: Solve for x
    x = 992,886,690.14/35,935.86
  6. Step 6: Final answer
    x = 27,629.41

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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.