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Finding the Fourth Proportional to 46,493.88, 69,724.67 and 19,838.79

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Solution

The fourth proportional to 46,493.88, 69,724.67 and 19,838.79 is: 29,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,493.88 : 69,724.67 = 19,838.79 : x
  2. Step 2: Convert to fraction form
    46,493.88/69,724.67 = 19,838.79/x
  3. Step 3: Cross multiply
    46,493.88x = 69,724.67 × 19,838.79
  4. Step 4: Simplify right side
    46,493.88x = 1,383,252,986.76
  5. Step 5: Solve for x
    x = 1,383,252,986.76/46,493.88
  6. Step 6: Final answer
    x = 29,751.29

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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.