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Finding the Fourth Proportional to 30,065.68, 45,075.74 and 18,217

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Solution

The fourth proportional to 30,065.68, 45,075.74 and 18,217 is: 27,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,065.68 : 45,075.74 = 18,217 : x
  2. Step 2: Convert to fraction form
    30,065.68/45,075.74 = 18,217/x
  3. Step 3: Cross multiply
    30,065.68x = 45,075.74 × 18,217
  4. Step 4: Simplify right side
    30,065.68x = 821,144,755.58
  5. Step 5: Solve for x
    x = 821,144,755.58/30,065.68
  6. Step 6: Final answer
    x = 27,311.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.