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Finding the Fourth Proportional to 30,675, 46,023.30 and 15,103.56

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Solution

The fourth proportional to 30,675, 46,023.30 and 15,103.56 is: 22,660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,675 : 46,023.30 = 15,103.56 : x
  2. Step 2: Convert to fraction form
    30,675/46,023.30 = 15,103.56/x
  3. Step 3: Cross multiply
    30,675x = 46,023.30 × 15,103.56
  4. Step 4: Simplify right side
    30,675x = 695,115,672.95
  5. Step 5: Solve for x
    x = 695,115,672.95/30,675
  6. Step 6: Final answer
    x = 22,660.66

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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.