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Finding the Fourth Proportional to 32,409.40, 48,589.74 and 13,711.32

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Solution

The fourth proportional to 32,409.40, 48,589.74 and 13,711.32 is: 20,556.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.40 : 48,589.74 = 13,711.32 : x
  2. Step 2: Convert to fraction form
    32,409.40/48,589.74 = 13,711.32/x
  3. Step 3: Cross multiply
    32,409.40x = 48,589.74 × 13,711.32
  4. Step 4: Simplify right side
    32,409.40x = 666,229,473.86
  5. Step 5: Solve for x
    x = 666,229,473.86/32,409.40
  6. Step 6: Final answer
    x = 20,556.67

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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.