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Finding the Fourth Proportional to 32,696.44, 49,036.56 and 9,323.08

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Solution

The fourth proportional to 32,696.44, 49,036.56 and 9,323.08 is: 13,982.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,696.44 : 49,036.56 = 9,323.08 : x
  2. Step 2: Convert to fraction form
    32,696.44/49,036.56 = 9,323.08/x
  3. Step 3: Cross multiply
    32,696.44x = 49,036.56 × 9,323.08
  4. Step 4: Simplify right side
    32,696.44x = 457,171,771.80
  5. Step 5: Solve for x
    x = 457,171,771.80/32,696.44
  6. Step 6: Final answer
    x = 13,982.31

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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.