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Finding the Fourth Proportional to 36,533, 50,415.90 and 19,766.36

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Solution

The fourth proportional to 36,533, 50,415.90 and 19,766.36 is: 27,277.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,533 : 50,415.90 = 19,766.36 : x
  2. Step 2: Convert to fraction form
    36,533/50,415.90 = 19,766.36/x
  3. Step 3: Cross multiply
    36,533x = 50,415.90 × 19,766.36
  4. Step 4: Simplify right side
    36,533x = 996,538,829.12
  5. Step 5: Solve for x
    x = 996,538,829.12/36,533
  6. Step 6: Final answer
    x = 27,277.77

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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.