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Finding the Fourth Proportional to 30,075.35, 41,498.21 and 16,645.97

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Solution

The fourth proportional to 30,075.35, 41,498.21 and 16,645.97 is: 22,968.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.35 : 41,498.21 = 16,645.97 : x
  2. Step 2: Convert to fraction form
    30,075.35/41,498.21 = 16,645.97/x
  3. Step 3: Cross multiply
    30,075.35x = 41,498.21 × 16,645.97
  4. Step 4: Simplify right side
    30,075.35x = 690,777,792.84
  5. Step 5: Solve for x
    x = 690,777,792.84/30,075.35
  6. Step 6: Final answer
    x = 22,968.24

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