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Finding the Fourth Proportional to 30,212.49, 41,696.06 and 18,278.76

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Solution

The fourth proportional to 30,212.49, 41,696.06 and 18,278.76 is: 25,226.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212.49 : 41,696.06 = 18,278.76 : x
  2. Step 2: Convert to fraction form
    30,212.49/41,696.06 = 18,278.76/x
  3. Step 3: Cross multiply
    30,212.49x = 41,696.06 × 18,278.76
  4. Step 4: Simplify right side
    30,212.49x = 762,152,182.29
  5. Step 5: Solve for x
    x = 762,152,182.29/30,212.49
  6. Step 6: Final answer
    x = 25,226.39

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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.