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Finding the Fourth Proportional to 32,378.84, 48,529.34 and 13,651.64

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Solution

The fourth proportional to 32,378.84, 48,529.34 and 13,651.64 is: 20,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,378.84 : 48,529.34 = 13,651.64 : x
  2. Step 2: Convert to fraction form
    32,378.84/48,529.34 = 13,651.64/x
  3. Step 3: Cross multiply
    32,378.84x = 48,529.34 × 13,651.64
  4. Step 4: Simplify right side
    32,378.84x = 662,505,079.12
  5. Step 5: Solve for x
    x = 662,505,079.12/32,378.84
  6. Step 6: Final answer
    x = 20,461.05

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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.