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Finding the Fourth Proportional to 50,977.94, 76,454.73 and 21,396.32

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Solution

The fourth proportional to 50,977.94, 76,454.73 and 21,396.32 is: 32,089.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,977.94 : 76,454.73 = 21,396.32 : x
  2. Step 2: Convert to fraction form
    50,977.94/76,454.73 = 21,396.32/x
  3. Step 3: Cross multiply
    50,977.94x = 76,454.73 × 21,396.32
  4. Step 4: Simplify right side
    50,977.94x = 1,635,849,868.59
  5. Step 5: Solve for x
    x = 1,635,849,868.59/50,977.94
  6. Step 6: Final answer
    x = 32,089.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.