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Finding the Fourth Proportional to 32,352, 44,640.90 and 18,204.54

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Solution

The fourth proportional to 32,352, 44,640.90 and 18,204.54 is: 25,119.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352 : 44,640.90 = 18,204.54 : x
  2. Step 2: Convert to fraction form
    32,352/44,640.90 = 18,204.54/x
  3. Step 3: Cross multiply
    32,352x = 44,640.90 × 18,204.54
  4. Step 4: Simplify right side
    32,352x = 812,667,049.69
  5. Step 5: Solve for x
    x = 812,667,049.69/32,352
  6. Step 6: Final answer
    x = 25,119.53

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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.