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Finding the Fourth Proportional to 32,016.25, 48,028.21 and 9,826.72

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Solution

The fourth proportional to 32,016.25, 48,028.21 and 9,826.72 is: 14,741.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.25 : 48,028.21 = 9,826.72 : x
  2. Step 2: Convert to fraction form
    32,016.25/48,028.21 = 9,826.72/x
  3. Step 3: Cross multiply
    32,016.25x = 48,028.21 × 9,826.72
  4. Step 4: Simplify right side
    32,016.25x = 471,959,771.77
  5. Step 5: Solve for x
    x = 471,959,771.77/32,016.25
  6. Step 6: Final answer
    x = 14,741.26

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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.