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Finding the Fourth Proportional to 30,757, 46,130.82 and 8,568.04

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Solution

The fourth proportional to 30,757, 46,130.82 and 8,568.04 is: 12,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757 : 46,130.82 = 8,568.04 : x
  2. Step 2: Convert to fraction form
    30,757/46,130.82 = 8,568.04/x
  3. Step 3: Cross multiply
    30,757x = 46,130.82 × 8,568.04
  4. Step 4: Simplify right side
    30,757x = 395,250,710.99
  5. Step 5: Solve for x
    x = 395,250,710.99/30,757
  6. Step 6: Final answer
    x = 12,850.76

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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.