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Finding the Fourth Proportional to 38,049.71, 57,063.02 and 13,075.38

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Solution

The fourth proportional to 38,049.71, 57,063.02 and 13,075.38 is: 19,609.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,049.71 : 57,063.02 = 13,075.38 : x
  2. Step 2: Convert to fraction form
    38,049.71/57,063.02 = 13,075.38/x
  3. Step 3: Cross multiply
    38,049.71x = 57,063.02 × 13,075.38
  4. Step 4: Simplify right side
    38,049.71x = 746,120,605.07
  5. Step 5: Solve for x
    x = 746,120,605.07/38,049.71
  6. Step 6: Final answer
    x = 19,609.10

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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.