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Finding the Fourth Proportional to 32,263, 48,392.32 and 8,889.64

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Solution

The fourth proportional to 32,263, 48,392.32 and 8,889.64 is: 13,333.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,263 : 48,392.32 = 8,889.64 : x
  2. Step 2: Convert to fraction form
    32,263/48,392.32 = 8,889.64/x
  3. Step 3: Cross multiply
    32,263x = 48,392.32 × 8,889.64
  4. Step 4: Simplify right side
    32,263x = 430,190,303.56
  5. Step 5: Solve for x
    x = 430,190,303.56/32,263
  6. Step 6: Final answer
    x = 13,333.86

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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.