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Finding the Fourth Proportional to 30,751.96, 46,145.48 and 12,033.52

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Solution

The fourth proportional to 30,751.96, 46,145.48 and 12,033.52 is: 18,057.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,751.96 : 46,145.48 = 12,033.52 : x
  2. Step 2: Convert to fraction form
    30,751.96/46,145.48 = 12,033.52/x
  3. Step 3: Cross multiply
    30,751.96x = 46,145.48 × 12,033.52
  4. Step 4: Simplify right side
    30,751.96x = 555,292,556.49
  5. Step 5: Solve for x
    x = 555,292,556.49/30,751.96
  6. Step 6: Final answer
    x = 18,057.14

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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.