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Finding the Fourth Proportional to 57,664.31, 86,509.01 and 17,683.31

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Solution

The fourth proportional to 57,664.31, 86,509.01 and 17,683.31 is: 26,528.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,664.31 : 86,509.01 = 17,683.31 : x
  2. Step 2: Convert to fraction form
    57,664.31/86,509.01 = 17,683.31/x
  3. Step 3: Cross multiply
    57,664.31x = 86,509.01 × 17,683.31
  4. Step 4: Simplify right side
    57,664.31x = 1,529,765,902.10
  5. Step 5: Solve for x
    x = 1,529,765,902.10/57,664.31
  6. Step 6: Final answer
    x = 26,528.82

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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.