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Finding the Fourth Proportional to 30,075.75, 41,501.07 and 16,645.14

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Solution

The fourth proportional to 30,075.75, 41,501.07 and 16,645.14 is: 22,968.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.75 : 41,501.07 = 16,645.14 : x
  2. Step 2: Convert to fraction form
    30,075.75/41,501.07 = 16,645.14/x
  3. Step 3: Cross multiply
    30,075.75x = 41,501.07 × 16,645.14
  4. Step 4: Simplify right side
    30,075.75x = 690,791,120.30
  5. Step 5: Solve for x
    x = 690,791,120.30/30,075.75
  6. Step 6: Final answer
    x = 22,968.38

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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.