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Finding the Fourth Proportional to 32,950.67, 49,650.85 and 27,235.31

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Solution

The fourth proportional to 32,950.67, 49,650.85 and 27,235.31 is: 41,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,950.67 : 49,650.85 = 27,235.31 : x
  2. Step 2: Convert to fraction form
    32,950.67/49,650.85 = 27,235.31/x
  3. Step 3: Cross multiply
    32,950.67x = 49,650.85 × 27,235.31
  4. Step 4: Simplify right side
    32,950.67x = 1,352,256,291.51
  5. Step 5: Solve for x
    x = 1,352,256,291.51/32,950.67
  6. Step 6: Final answer
    x = 41,038.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.