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Finding the Fourth Proportional to 35,533.64, 49,036.13 and 19,617.75

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Solution

The fourth proportional to 35,533.64, 49,036.13 and 19,617.75 is: 27,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,533.64 : 49,036.13 = 19,617.75 : x
  2. Step 2: Convert to fraction form
    35,533.64/49,036.13 = 19,617.75/x
  3. Step 3: Cross multiply
    35,533.64x = 49,036.13 × 19,617.75
  4. Step 4: Simplify right side
    35,533.64x = 961,978,441.22
  5. Step 5: Solve for x
    x = 961,978,441.22/35,533.64
  6. Step 6: Final answer
    x = 27,072.33

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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.