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Finding the Fourth Proportional to 57,665.81, 86,511.26 and 17,684.81

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Solution

The fourth proportional to 57,665.81, 86,511.26 and 17,684.81 is: 26,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,665.81 : 86,511.26 = 17,684.81 : x
  2. Step 2: Convert to fraction form
    57,665.81/86,511.26 = 17,684.81/x
  3. Step 3: Cross multiply
    57,665.81x = 86,511.26 × 17,684.81
  4. Step 4: Simplify right side
    57,665.81x = 1,529,935,195.96
  5. Step 5: Solve for x
    x = 1,529,935,195.96/57,665.81
  6. Step 6: Final answer
    x = 26,531.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.