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Finding the Fourth Proportional to 32,961.64, 49,450.56 and 9,588.28

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Solution

The fourth proportional to 32,961.64, 49,450.56 and 9,588.28 is: 14,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.64 : 49,450.56 = 9,588.28 : x
  2. Step 2: Convert to fraction form
    32,961.64/49,450.56 = 9,588.28/x
  3. Step 3: Cross multiply
    32,961.64x = 49,450.56 × 9,588.28
  4. Step 4: Simplify right side
    32,961.64x = 474,145,815.44
  5. Step 5: Solve for x
    x = 474,145,815.44/32,961.64
  6. Step 6: Final answer
    x = 14,384.78

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1.5x scale

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.