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Finding the Fourth Proportional to 32,446.64, 48,678.06 and 9,072.88

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Solution

The fourth proportional to 32,446.64, 48,678.06 and 9,072.88 is: 13,611.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,446.64 : 48,678.06 = 9,072.88 : x
  2. Step 2: Convert to fraction form
    32,446.64/48,678.06 = 9,072.88/x
  3. Step 3: Cross multiply
    32,446.64x = 48,678.06 × 9,072.88
  4. Step 4: Simplify right side
    32,446.64x = 441,650,197.01
  5. Step 5: Solve for x
    x = 441,650,197.01/32,446.64
  6. Step 6: Final answer
    x = 13,611.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.