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Finding the Fourth Proportional to 32,964.64, 49,455.06 and 9,591.28

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Solution

The fourth proportional to 32,964.64, 49,455.06 and 9,591.28 is: 14,389.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,964.64 : 49,455.06 = 9,591.28 : x
  2. Step 2: Convert to fraction form
    32,964.64/49,455.06 = 9,591.28/x
  3. Step 3: Cross multiply
    32,964.64x = 49,455.06 × 9,591.28
  4. Step 4: Simplify right side
    32,964.64x = 474,337,327.88
  5. Step 5: Solve for x
    x = 474,337,327.88/32,964.64
  6. Step 6: Final answer
    x = 14,389.28

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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.