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Finding the Fourth Proportional to 32,649.04, 48,971.94 and 9,272.44

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Solution

The fourth proportional to 32,649.04, 48,971.94 and 9,272.44 is: 13,908.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,649.04 : 48,971.94 = 9,272.44 : x
  2. Step 2: Convert to fraction form
    32,649.04/48,971.94 = 9,272.44/x
  3. Step 3: Cross multiply
    32,649.04x = 48,971.94 × 9,272.44
  4. Step 4: Simplify right side
    32,649.04x = 454,089,375.33
  5. Step 5: Solve for x
    x = 454,089,375.33/32,649.04
  6. Step 6: Final answer
    x = 13,908.20

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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.