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Finding the Fourth Proportional to 30,725.90, 42,401.40 and 17,806.94

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Solution

The fourth proportional to 30,725.90, 42,401.40 and 17,806.94 is: 24,573.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,725.90 : 42,401.40 = 17,806.94 : x
  2. Step 2: Convert to fraction form
    30,725.90/42,401.40 = 17,806.94/x
  3. Step 3: Cross multiply
    30,725.90x = 42,401.40 × 17,806.94
  4. Step 4: Simplify right side
    30,725.90x = 755,039,185.72
  5. Step 5: Solve for x
    x = 755,039,185.72/30,725.90
  6. Step 6: Final answer
    x = 24,573.38

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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.