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Finding the Fourth Proportional to 32,016.40, 47,995.80 and 20,323.60

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Solution

The fourth proportional to 32,016.40, 47,995.80 and 20,323.60 is: 30,467.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,016.40 : 47,995.80 = 20,323.60 : x
  2. Step 2: Convert to fraction form
    32,016.40/47,995.80 = 20,323.60/x
  3. Step 3: Cross multiply
    32,016.40x = 47,995.80 × 20,323.60
  4. Step 4: Simplify right side
    32,016.40x = 975,447,440.88
  5. Step 5: Solve for x
    x = 975,447,440.88/32,016.40
  6. Step 6: Final answer
    x = 30,467.12

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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.