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Finding the Fourth Proportional to 33,113.40, 45,651.78 and 22,484.60

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Solution

The fourth proportional to 33,113.40, 45,651.78 and 22,484.60 is: 30,998.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,113.40 : 45,651.78 = 22,484.60 : x
  2. Step 2: Convert to fraction form
    33,113.40/45,651.78 = 22,484.60/x
  3. Step 3: Cross multiply
    33,113.40x = 45,651.78 × 22,484.60
  4. Step 4: Simplify right side
    33,113.40x = 1,026,462,012.59
  5. Step 5: Solve for x
    x = 1,026,462,012.59/33,113.40
  6. Step 6: Final answer
    x = 30,998.39

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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.