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Finding the Fourth Proportional to 30,108.48, 41,551.20 and 17,534.40

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Solution

The fourth proportional to 30,108.48, 41,551.20 and 17,534.40 is: 24,198.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,108.48 : 41,551.20 = 17,534.40 : x
  2. Step 2: Convert to fraction form
    30,108.48/41,551.20 = 17,534.40/x
  3. Step 3: Cross multiply
    30,108.48x = 41,551.20 × 17,534.40
  4. Step 4: Simplify right side
    30,108.48x = 728,575,361.28
  5. Step 5: Solve for x
    x = 728,575,361.28/30,108.48
  6. Step 6: Final answer
    x = 24,198.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.