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Finding the Fourth Proportional to 32,097.60, 44,292.96 and 20,157.12

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Solution

The fourth proportional to 32,097.60, 44,292.96 and 20,157.12 is: 27,815.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,097.60 : 44,292.96 = 20,157.12 : x
  2. Step 2: Convert to fraction form
    32,097.60/44,292.96 = 20,157.12/x
  3. Step 3: Cross multiply
    32,097.60x = 44,292.96 × 20,157.12
  4. Step 4: Simplify right side
    32,097.60x = 892,818,509.88
  5. Step 5: Solve for x
    x = 892,818,509.88/32,097.60
  6. Step 6: Final answer
    x = 27,815.74

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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.