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Finding the Fourth Proportional to 30,075.95, 45,119.45 and 10,083.43

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Solution

The fourth proportional to 30,075.95, 45,119.45 and 10,083.43 is: 15,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,075.95 : 45,119.45 = 10,083.43 : x
  2. Step 2: Convert to fraction form
    30,075.95/45,119.45 = 10,083.43/x
  3. Step 3: Cross multiply
    30,075.95x = 45,119.45 × 10,083.43
  4. Step 4: Simplify right side
    30,075.95x = 454,958,652.50
  5. Step 5: Solve for x
    x = 454,958,652.50/30,075.95
  6. Step 6: Final answer
    x = 15,126.99

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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.