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Finding the Fourth Proportional to 32,826.24, 49,232.16 and 9,447.60

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Solution

The fourth proportional to 32,826.24, 49,232.16 and 9,447.60 is: 14,169.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,826.24 : 49,232.16 = 9,447.60 : x
  2. Step 2: Convert to fraction form
    32,826.24/49,232.16 = 9,447.60/x
  3. Step 3: Cross multiply
    32,826.24x = 49,232.16 × 9,447.60
  4. Step 4: Simplify right side
    32,826.24x = 465,125,754.82
  5. Step 5: Solve for x
    x = 465,125,754.82/32,826.24
  6. Step 6: Final answer
    x = 14,169.33

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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.