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Finding the Fourth Proportional to 32,970.21, 49,454.61 and 8,010.37

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Solution

The fourth proportional to 32,970.21, 49,454.61 and 8,010.37 is: 12,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,970.21 : 49,454.61 = 8,010.37 : x
  2. Step 2: Convert to fraction form
    32,970.21/49,454.61 = 8,010.37/x
  3. Step 3: Cross multiply
    32,970.21x = 49,454.61 × 8,010.37
  4. Step 4: Simplify right side
    32,970.21x = 396,149,724.31
  5. Step 5: Solve for x
    x = 396,149,724.31/32,970.21
  6. Step 6: Final answer
    x = 12,015.38

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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.