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Finding the Fourth Proportional to 30,751.53, 46,128.50 and 8,566.84

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Solution

The fourth proportional to 30,751.53, 46,128.50 and 8,566.84 is: 12,850.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.53 : 46,128.50 = 8,566.84 : x
  2. Step 2: Convert to fraction form
    30,751.53/46,128.50 = 8,566.84/x
  3. Step 3: Cross multiply
    30,751.53x = 46,128.50 × 8,566.84
  4. Step 4: Simplify right side
    30,751.53x = 395,175,478.94
  5. Step 5: Solve for x
    x = 395,175,478.94/30,751.53
  6. Step 6: Final answer
    x = 12,850.60

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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.