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Finding the Fourth Proportional to 32,533.44, 48,776.76 and 13,803.12

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Solution

The fourth proportional to 32,533.44, 48,776.76 and 13,803.12 is: 20,694.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,533.44 : 48,776.76 = 13,803.12 : x
  2. Step 2: Convert to fraction form
    32,533.44/48,776.76 = 13,803.12/x
  3. Step 3: Cross multiply
    32,533.44x = 48,776.76 × 13,803.12
  4. Step 4: Simplify right side
    32,533.44x = 673,271,471.49
  5. Step 5: Solve for x
    x = 673,271,471.49/32,533.44
  6. Step 6: Final answer
    x = 20,694.75

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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.