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Finding the Fourth Proportional to 32,185.99, 48,289.06 and 14,431.53

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Solution

The fourth proportional to 32,185.99, 48,289.06 and 14,431.53 is: 21,651.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,185.99 : 48,289.06 = 14,431.53 : x
  2. Step 2: Convert to fraction form
    32,185.99/48,289.06 = 14,431.53/x
  3. Step 3: Cross multiply
    32,185.99x = 48,289.06 × 14,431.53
  4. Step 4: Simplify right side
    32,185.99x = 696,885,217.19
  5. Step 5: Solve for x
    x = 696,885,217.19/32,185.99
  6. Step 6: Final answer
    x = 21,651.82

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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.