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Finding the Fourth Proportional to 32,676.94, 49,034.04 and 27,196.66

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Solution

The fourth proportional to 32,676.94, 49,034.04 and 27,196.66 is: 40,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.94 : 49,034.04 = 27,196.66 : x
  2. Step 2: Convert to fraction form
    32,676.94/49,034.04 = 27,196.66/x
  3. Step 3: Cross multiply
    32,676.94x = 49,034.04 × 27,196.66
  4. Step 4: Simplify right side
    32,676.94x = 1,333,562,114.31
  5. Step 5: Solve for x
    x = 1,333,562,114.31/32,676.94
  6. Step 6: Final answer
    x = 40,810.50

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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.