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Finding the Fourth Proportional to 46,494.78, 69,702.96 and 20,179.68

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Solution

The fourth proportional to 46,494.78, 69,702.96 and 20,179.68 is: 30,252.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,494.78 : 69,702.96 = 20,179.68 : x
  2. Step 2: Convert to fraction form
    46,494.78/69,702.96 = 20,179.68/x
  3. Step 3: Cross multiply
    46,494.78x = 69,702.96 × 20,179.68
  4. Step 4: Simplify right side
    46,494.78x = 1,406,583,427.85
  5. Step 5: Solve for x
    x = 1,406,583,427.85/46,494.78
  6. Step 6: Final answer
    x = 30,252.50

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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.