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Finding the Fourth Proportional to 32,896.43, 49,316.90 and 13,164.22

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Solution

The fourth proportional to 32,896.43, 49,316.90 and 13,164.22 is: 19,735.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,896.43 : 49,316.90 = 13,164.22 : x
  2. Step 2: Convert to fraction form
    32,896.43/49,316.90 = 13,164.22/x
  3. Step 3: Cross multiply
    32,896.43x = 49,316.90 × 13,164.22
  4. Step 4: Simplify right side
    32,896.43x = 649,218,591.19
  5. Step 5: Solve for x
    x = 649,218,591.19/32,896.43
  6. Step 6: Final answer
    x = 19,735.23

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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.