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Finding the Fourth Proportional to 35,795.34, 49,398.94 and 19,880.98

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Solution

The fourth proportional to 35,795.34, 49,398.94 and 19,880.98 is: 27,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,795.34 : 49,398.94 = 19,880.98 : x
  2. Step 2: Convert to fraction form
    35,795.34/49,398.94 = 19,880.98/x
  3. Step 3: Cross multiply
    35,795.34x = 49,398.94 × 19,880.98
  4. Step 4: Simplify right side
    35,795.34x = 982,099,338.16
  5. Step 5: Solve for x
    x = 982,099,338.16/35,795.34
  6. Step 6: Final answer
    x = 27,436.51

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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.