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Finding the Fourth Proportional to 32,392.50, 48,596.64 and 13,662.46

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Solution

The fourth proportional to 32,392.50, 48,596.64 and 13,662.46 is: 20,497.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,392.50 : 48,596.64 = 13,662.46 : x
  2. Step 2: Convert to fraction form
    32,392.50/48,596.64 = 13,662.46/x
  3. Step 3: Cross multiply
    32,392.50x = 48,596.64 × 13,662.46
  4. Step 4: Simplify right side
    32,392.50x = 663,949,650.13
  5. Step 5: Solve for x
    x = 663,949,650.13/32,392.50
  6. Step 6: Final answer
    x = 20,497.02

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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.