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Finding the Fourth Proportional to 32,757.86, 45,206 and 18,611.48

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Solution

The fourth proportional to 32,757.86, 45,206 and 18,611.48 is: 25,683.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,757.86 : 45,206 = 18,611.48 : x
  2. Step 2: Convert to fraction form
    32,757.86/45,206 = 18,611.48/x
  3. Step 3: Cross multiply
    32,757.86x = 45,206 × 18,611.48
  4. Step 4: Simplify right side
    32,757.86x = 841,350,564.88
  5. Step 5: Solve for x
    x = 841,350,564.88/32,757.86
  6. Step 6: Final answer
    x = 25,683.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.