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Finding the Fourth Proportional to 33,156.66, 45,741.66 and 21,811.56

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Solution

The fourth proportional to 33,156.66, 45,741.66 and 21,811.56 is: 30,090.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.66 : 45,741.66 = 21,811.56 : x
  2. Step 2: Convert to fraction form
    33,156.66/45,741.66 = 21,811.56/x
  3. Step 3: Cross multiply
    33,156.66x = 45,741.66 × 21,811.56
  4. Step 4: Simplify right side
    33,156.66x = 997,696,961.59
  5. Step 5: Solve for x
    x = 997,696,961.59/33,156.66
  6. Step 6: Final answer
    x = 30,090.39

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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.