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Finding the Fourth Proportional to 32,450.64, 48,684.06 and 9,076.88

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Solution

The fourth proportional to 32,450.64, 48,684.06 and 9,076.88 is: 13,617.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,450.64 : 48,684.06 = 9,076.88 : x
  2. Step 2: Convert to fraction form
    32,450.64/48,684.06 = 9,076.88/x
  3. Step 3: Cross multiply
    32,450.64x = 48,684.06 × 9,076.88
  4. Step 4: Simplify right side
    32,450.64x = 441,899,370.53
  5. Step 5: Solve for x
    x = 441,899,370.53/32,450.64
  6. Step 6: Final answer
    x = 13,617.59

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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.