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Finding the Fourth Proportional to 32,774.64, 49,169.24 and 9,399.25

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Solution

The fourth proportional to 32,774.64, 49,169.24 and 9,399.25 is: 14,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,774.64 : 49,169.24 = 9,399.25 : x
  2. Step 2: Convert to fraction form
    32,774.64/49,169.24 = 9,399.25/x
  3. Step 3: Cross multiply
    32,774.64x = 49,169.24 × 9,399.25
  4. Step 4: Simplify right side
    32,774.64x = 462,153,979.07
  5. Step 5: Solve for x
    x = 462,153,979.07/32,774.64
  6. Step 6: Final answer
    x = 14,100.96

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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.