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Finding the Fourth Proportional to 46,494.69, 69,702.74 and 20,179.65

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Solution

The fourth proportional to 46,494.69, 69,702.74 and 20,179.65 is: 30,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,494.69 : 69,702.74 = 20,179.65 : x
  2. Step 2: Convert to fraction form
    46,494.69/69,702.74 = 20,179.65/x
  3. Step 3: Cross multiply
    46,494.69x = 69,702.74 × 20,179.65
  4. Step 4: Simplify right side
    46,494.69x = 1,406,576,796.34
  5. Step 5: Solve for x
    x = 1,406,576,796.34/46,494.69
  6. Step 6: Final answer
    x = 30,252.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.