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Finding the Fourth Proportional to 38,005.89, 57,008.82 and 10,303.89

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Solution

The fourth proportional to 38,005.89, 57,008.82 and 10,303.89 is: 15,455.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,005.89 : 57,008.82 = 10,303.89 : x
  2. Step 2: Convert to fraction form
    38,005.89/57,008.82 = 10,303.89/x
  3. Step 3: Cross multiply
    38,005.89x = 57,008.82 × 10,303.89
  4. Step 4: Simplify right side
    38,005.89x = 587,412,610.31
  5. Step 5: Solve for x
    x = 587,412,610.31/38,005.89
  6. Step 6: Final answer
    x = 15,455.83

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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.