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Finding the Fourth Proportional to 32,677.75, 45,095.30 and 17,773.75

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Solution

The fourth proportional to 32,677.75, 45,095.30 and 17,773.75 is: 24,527.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,677.75 : 45,095.30 = 17,773.75 : x
  2. Step 2: Convert to fraction form
    32,677.75/45,095.30 = 17,773.75/x
  3. Step 3: Cross multiply
    32,677.75x = 45,095.30 × 17,773.75
  4. Step 4: Simplify right side
    32,677.75x = 801,512,588.38
  5. Step 5: Solve for x
    x = 801,512,588.38/32,677.75
  6. Step 6: Final answer
    x = 24,527.78

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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.