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Finding the Fourth Proportional to 38,065.98, 57,098.97 and 11,770.14

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Solution

The fourth proportional to 38,065.98, 57,098.97 and 11,770.14 is: 17,655.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065.98 : 57,098.97 = 11,770.14 : x
  2. Step 2: Convert to fraction form
    38,065.98/57,098.97 = 11,770.14/x
  3. Step 3: Cross multiply
    38,065.98x = 57,098.97 × 11,770.14
  4. Step 4: Simplify right side
    38,065.98x = 672,062,870.76
  5. Step 5: Solve for x
    x = 672,062,870.76/38,065.98
  6. Step 6: Final answer
    x = 17,655.21

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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.