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Finding the Fourth Proportional to 38,064.73, 57,097.10 and 11,768.89

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Solution

The fourth proportional to 38,064.73, 57,097.10 and 11,768.89 is: 17,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,064.73 : 57,097.10 = 11,768.89 : x
  2. Step 2: Convert to fraction form
    38,064.73/57,097.10 = 11,768.89/x
  3. Step 3: Cross multiply
    38,064.73x = 57,097.10 × 11,768.89
  4. Step 4: Simplify right side
    38,064.73x = 671,969,489.22
  5. Step 5: Solve for x
    x = 671,969,489.22/38,064.73
  6. Step 6: Final answer
    x = 17,653.34

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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.