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Finding the Fourth Proportional to 33,064, 45,629.40 and 18,160

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Solution

The fourth proportional to 33,064, 45,629.40 and 18,160 is: 25,061.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,064 : 45,629.40 = 18,160 : x
  2. Step 2: Convert to fraction form
    33,064/45,629.40 = 18,160/x
  3. Step 3: Cross multiply
    33,064x = 45,629.40 × 18,160
  4. Step 4: Simplify right side
    33,064x = 828,629,904
  5. Step 5: Solve for x
    x = 828,629,904/33,064
  6. Step 6: Final answer
    x = 25,061.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.