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Finding the Fourth Proportional to 34,766.23, 47,977.34 and 18,850.65

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Solution

The fourth proportional to 34,766.23, 47,977.34 and 18,850.65 is: 26,013.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,766.23 : 47,977.34 = 18,850.65 : x
  2. Step 2: Convert to fraction form
    34,766.23/47,977.34 = 18,850.65/x
  3. Step 3: Cross multiply
    34,766.23x = 47,977.34 × 18,850.65
  4. Step 4: Simplify right side
    34,766.23x = 904,403,804.38
  5. Step 5: Solve for x
    x = 904,403,804.38/34,766.23
  6. Step 6: Final answer
    x = 26,013.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.