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Finding the Fourth Proportional to 46,662.50, 69,993.75 and 13,830.50

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Solution

The fourth proportional to 46,662.50, 69,993.75 and 13,830.50 is: 20,745.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,662.50 : 69,993.75 = 13,830.50 : x
  2. Step 2: Convert to fraction form
    46,662.50/69,993.75 = 13,830.50/x
  3. Step 3: Cross multiply
    46,662.50x = 69,993.75 × 13,830.50
  4. Step 4: Simplify right side
    46,662.50x = 968,048,559.38
  5. Step 5: Solve for x
    x = 968,048,559.38/46,662.50
  6. Step 6: Final answer
    x = 20,745.75

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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.