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Finding the Fourth Proportional to 30,698.76, 46,072.74 and 15,911.91

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Solution

The fourth proportional to 30,698.76, 46,072.74 and 15,911.91 is: 23,880.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.76 : 46,072.74 = 15,911.91 : x
  2. Step 2: Convert to fraction form
    30,698.76/46,072.74 = 15,911.91/x
  3. Step 3: Cross multiply
    30,698.76x = 46,072.74 × 15,911.91
  4. Step 4: Simplify right side
    30,698.76x = 733,105,292.33
  5. Step 5: Solve for x
    x = 733,105,292.33/30,698.76
  6. Step 6: Final answer
    x = 23,880.62

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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.