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Finding the Fourth Proportional to 38,665.50, 58,005.54 and 17,889

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Solution

The fourth proportional to 38,665.50, 58,005.54 and 17,889 is: 26,836.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,665.50 : 58,005.54 = 17,889 : x
  2. Step 2: Convert to fraction form
    38,665.50/58,005.54 = 17,889/x
  3. Step 3: Cross multiply
    38,665.50x = 58,005.54 × 17,889
  4. Step 4: Simplify right side
    38,665.50x = 1,037,661,105.06
  5. Step 5: Solve for x
    x = 1,037,661,105.06/38,665.50
  6. Step 6: Final answer
    x = 26,836.87

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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.