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Finding the Fourth Proportional to 46,474.36, 69,672.36 and 20,159.29

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Solution

The fourth proportional to 46,474.36, 69,672.36 and 20,159.29 is: 30,221.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,474.36 : 69,672.36 = 20,159.29 : x
  2. Step 2: Convert to fraction form
    46,474.36/69,672.36 = 20,159.29/x
  3. Step 3: Cross multiply
    46,474.36x = 69,672.36 × 20,159.29
  4. Step 4: Simplify right side
    46,474.36x = 1,404,545,310.22
  5. Step 5: Solve for x
    x = 1,404,545,310.22/46,474.36
  6. Step 6: Final answer
    x = 30,221.94

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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.