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Finding the Fourth Proportional to 32,015.64, 48,023.30 and 16,424.60

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Solution

The fourth proportional to 32,015.64, 48,023.30 and 16,424.60 is: 24,636.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,015.64 : 48,023.30 = 16,424.60 : x
  2. Step 2: Convert to fraction form
    32,015.64/48,023.30 = 16,424.60/x
  3. Step 3: Cross multiply
    32,015.64x = 48,023.30 × 16,424.60
  4. Step 4: Simplify right side
    32,015.64x = 788,763,493.18
  5. Step 5: Solve for x
    x = 788,763,493.18/32,015.64
  6. Step 6: Final answer
    x = 24,636.82

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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.