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Finding the Fourth Proportional to 32,222.82, 48,328.56 and 8,846.22

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Solution

The fourth proportional to 32,222.82, 48,328.56 and 8,846.22 is: 13,267.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,222.82 : 48,328.56 = 8,846.22 : x
  2. Step 2: Convert to fraction form
    32,222.82/48,328.56 = 8,846.22/x
  3. Step 3: Cross multiply
    32,222.82x = 48,328.56 × 8,846.22
  4. Step 4: Simplify right side
    32,222.82x = 427,525,074.04
  5. Step 5: Solve for x
    x = 427,525,074.04/32,222.82
  6. Step 6: Final answer
    x = 13,267.77

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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.