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Finding the Fourth Proportional to 32,192.99, 48,284.32 and 8,813.96

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Solution

The fourth proportional to 32,192.99, 48,284.32 and 8,813.96 is: 13,219.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,192.99 : 48,284.32 = 8,813.96 : x
  2. Step 2: Convert to fraction form
    32,192.99/48,284.32 = 8,813.96/x
  3. Step 3: Cross multiply
    32,192.99x = 48,284.32 × 8,813.96
  4. Step 4: Simplify right side
    32,192.99x = 425,576,065.11
  5. Step 5: Solve for x
    x = 425,576,065.11/32,192.99
  6. Step 6: Final answer
    x = 13,219.53

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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.