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Finding the Fourth Proportional to 32,014.40, 47,992.80 and 20,321.60

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Solution

The fourth proportional to 32,014.40, 47,992.80 and 20,321.60 is: 30,464.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.40 : 47,992.80 = 20,321.60 : x
  2. Step 2: Convert to fraction form
    32,014.40/47,992.80 = 20,321.60/x
  3. Step 3: Cross multiply
    32,014.40x = 47,992.80 × 20,321.60
  4. Step 4: Simplify right side
    32,014.40x = 975,290,484.48
  5. Step 5: Solve for x
    x = 975,290,484.48/32,014.40
  6. Step 6: Final answer
    x = 30,464.12

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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.