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Finding the Fourth Proportional to 35,867.36, 49,497.12 and 19,952

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Solution

The fourth proportional to 35,867.36, 49,497.12 and 19,952 is: 27,533.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,867.36 : 49,497.12 = 19,952 : x
  2. Step 2: Convert to fraction form
    35,867.36/49,497.12 = 19,952/x
  3. Step 3: Cross multiply
    35,867.36x = 49,497.12 × 19,952
  4. Step 4: Simplify right side
    35,867.36x = 987,566,538.24
  5. Step 5: Solve for x
    x = 987,566,538.24/35,867.36
  6. Step 6: Final answer
    x = 27,533.85

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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.