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Finding the Fourth Proportional to 30,442.65, 41,849.54 and 26,178.09

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Solution

The fourth proportional to 30,442.65, 41,849.54 and 26,178.09 is: 35,987.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,442.65 : 41,849.54 = 26,178.09 : x
  2. Step 2: Convert to fraction form
    30,442.65/41,849.54 = 26,178.09/x
  3. Step 3: Cross multiply
    30,442.65x = 41,849.54 × 26,178.09
  4. Step 4: Simplify right side
    30,442.65x = 1,095,540,893.69
  5. Step 5: Solve for x
    x = 1,095,540,893.69/30,442.65
  6. Step 6: Final answer
    x = 35,987.04

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.