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Finding the Fourth Proportional to 32,169.63, 48,273.38 and 13,448.22

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Solution

The fourth proportional to 32,169.63, 48,273.38 and 13,448.22 is: 20,180.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,169.63 : 48,273.38 = 13,448.22 : x
  2. Step 2: Convert to fraction form
    32,169.63/48,273.38 = 13,448.22/x
  3. Step 3: Cross multiply
    32,169.63x = 48,273.38 × 13,448.22
  4. Step 4: Simplify right side
    32,169.63x = 649,191,034.38
  5. Step 5: Solve for x
    x = 649,191,034.38/32,169.63
  6. Step 6: Final answer
    x = 20,180.25

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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.