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Finding the Fourth Proportional to 75,993.78, 104,873.49 and 42,461.94

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Solution

The fourth proportional to 75,993.78, 104,873.49 and 42,461.94 is: 58,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,993.78 : 104,873.49 = 42,461.94 : x
  2. Step 2: Convert to fraction form
    75,993.78/104,873.49 = 42,461.94/x
  3. Step 3: Cross multiply
    75,993.78x = 104,873.49 × 42,461.94
  4. Step 4: Simplify right side
    75,993.78x = 4,453,131,839.97
  5. Step 5: Solve for x
    x = 4,453,131,839.97/75,993.78
  6. Step 6: Final answer
    x = 58,598.64

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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.