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Finding the Fourth Proportional to 30,777, 46,161.27 and 12,044.04

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Solution

The fourth proportional to 30,777, 46,161.27 and 12,044.04 is: 18,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,777 : 46,161.27 = 12,044.04 : x
  2. Step 2: Convert to fraction form
    30,777/46,161.27 = 12,044.04/x
  3. Step 3: Cross multiply
    30,777x = 46,161.27 × 12,044.04
  4. Step 4: Simplify right side
    30,777x = 555,968,182.33
  5. Step 5: Solve for x
    x = 555,968,182.33/30,777
  6. Step 6: Final answer
    x = 18,064.40

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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.