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Finding the Fourth Proportional to 30,571.58, 45,848 and 21,144.54

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Solution

The fourth proportional to 30,571.58, 45,848 and 21,144.54 is: 31,710.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,571.58 : 45,848 = 21,144.54 : x
  2. Step 2: Convert to fraction form
    30,571.58/45,848 = 21,144.54/x
  3. Step 3: Cross multiply
    30,571.58x = 45,848 × 21,144.54
  4. Step 4: Simplify right side
    30,571.58x = 969,434,869.92
  5. Step 5: Solve for x
    x = 969,434,869.92/30,571.58
  6. Step 6: Final answer
    x = 31,710.33

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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.