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Finding the Fourth Proportional to 30,019.50, 45,015.11 and 17,543.13

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Solution

The fourth proportional to 30,019.50, 45,015.11 and 17,543.13 is: 26,306.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,019.50 : 45,015.11 = 17,543.13 : x
  2. Step 2: Convert to fraction form
    30,019.50/45,015.11 = 17,543.13/x
  3. Step 3: Cross multiply
    30,019.50x = 45,015.11 × 17,543.13
  4. Step 4: Simplify right side
    30,019.50x = 789,705,838.98
  5. Step 5: Solve for x
    x = 789,705,838.98/30,019.50
  6. Step 6: Final answer
    x = 26,306.43

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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.