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Finding the Fourth Proportional to 33,052, 45,611.76 and 18,148.96

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Solution

The fourth proportional to 33,052, 45,611.76 and 18,148.96 is: 25,045.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,052 : 45,611.76 = 18,148.96 : x
  2. Step 2: Convert to fraction form
    33,052/45,611.76 = 18,148.96/x
  3. Step 3: Cross multiply
    33,052x = 45,611.76 × 18,148.96
  4. Step 4: Simplify right side
    33,052x = 827,806,007.77
  5. Step 5: Solve for x
    x = 827,806,007.77/33,052
  6. Step 6: Final answer
    x = 25,045.56

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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.