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Finding the Fourth Proportional to 32,152.56, 48,219.50 and 9,662.32

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Solution

The fourth proportional to 32,152.56, 48,219.50 and 9,662.32 is: 14,490.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,152.56 : 48,219.50 = 9,662.32 : x
  2. Step 2: Convert to fraction form
    32,152.56/48,219.50 = 9,662.32/x
  3. Step 3: Cross multiply
    32,152.56x = 48,219.50 × 9,662.32
  4. Step 4: Simplify right side
    32,152.56x = 465,912,239.24
  5. Step 5: Solve for x
    x = 465,912,239.24/32,152.56
  6. Step 6: Final answer
    x = 14,490.67

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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.