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Finding the Fourth Proportional to 50,676.64, 75,993.06 and 19,490

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Solution

The fourth proportional to 50,676.64, 75,993.06 and 19,490 is: 29,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,676.64 : 75,993.06 = 19,490 : x
  2. Step 2: Convert to fraction form
    50,676.64/75,993.06 = 19,490/x
  3. Step 3: Cross multiply
    50,676.64x = 75,993.06 × 19,490
  4. Step 4: Simplify right side
    50,676.64x = 1,481,104,739.40
  5. Step 5: Solve for x
    x = 1,481,104,739.40/50,676.64
  6. Step 6: Final answer
    x = 29,226.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.