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Finding the Fourth Proportional to 32,806.44, 49,212.36 and 9,433.08

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Solution

The fourth proportional to 32,806.44, 49,212.36 and 9,433.08 is: 14,150.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.44 : 49,212.36 = 9,433.08 : x
  2. Step 2: Convert to fraction form
    32,806.44/49,212.36 = 9,433.08/x
  3. Step 3: Cross multiply
    32,806.44x = 49,212.36 × 9,433.08
  4. Step 4: Simplify right side
    32,806.44x = 464,224,128.87
  5. Step 5: Solve for x
    x = 464,224,128.87/32,806.44
  6. Step 6: Final answer
    x = 14,150.40

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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.