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Finding the Fourth Proportional to 30,698.09, 46,047.14 and 8,511.47

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Solution

The fourth proportional to 30,698.09, 46,047.14 and 8,511.47 is: 12,767.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,698.09 : 46,047.14 = 8,511.47 : x
  2. Step 2: Convert to fraction form
    30,698.09/46,047.14 = 8,511.47/x
  3. Step 3: Cross multiply
    30,698.09x = 46,047.14 × 8,511.47
  4. Step 4: Simplify right side
    30,698.09x = 391,928,782.50
  5. Step 5: Solve for x
    x = 391,928,782.50/30,698.09
  6. Step 6: Final answer
    x = 12,767.20

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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.