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Finding the Fourth Proportional to 40,676.94, 61,009.14 and 11,097.18

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Solution

The fourth proportional to 40,676.94, 61,009.14 and 11,097.18 is: 16,644.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,676.94 : 61,009.14 = 11,097.18 : x
  2. Step 2: Convert to fraction form
    40,676.94/61,009.14 = 11,097.18/x
  3. Step 3: Cross multiply
    40,676.94x = 61,009.14 × 11,097.18
  4. Step 4: Simplify right side
    40,676.94x = 677,029,408.23
  5. Step 5: Solve for x
    x = 677,029,408.23/40,676.94
  6. Step 6: Final answer
    x = 16,644.06

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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.