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Finding the Fourth Proportional to 37,405.32, 51,619.20 and 20,409.24

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Solution

The fourth proportional to 37,405.32, 51,619.20 and 20,409.24 is: 28,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,405.32 : 51,619.20 = 20,409.24 : x
  2. Step 2: Convert to fraction form
    37,405.32/51,619.20 = 20,409.24/x
  3. Step 3: Cross multiply
    37,405.32x = 51,619.20 × 20,409.24
  4. Step 4: Simplify right side
    37,405.32x = 1,053,508,641.41
  5. Step 5: Solve for x
    x = 1,053,508,641.41/37,405.32
  6. Step 6: Final answer
    x = 28,164.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.