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Finding the Fourth Proportional to 62,032.56, 85,627.20 and 36,882

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Solution

The fourth proportional to 62,032.56, 85,627.20 and 36,882 is: 50,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,032.56 : 85,627.20 = 36,882 : x
  2. Step 2: Convert to fraction form
    62,032.56/85,627.20 = 36,882/x
  3. Step 3: Cross multiply
    62,032.56x = 85,627.20 × 36,882
  4. Step 4: Simplify right side
    62,032.56x = 3,158,102,390.40
  5. Step 5: Solve for x
    x = 3,158,102,390.40/62,032.56
  6. Step 6: Final answer
    x = 50,910.40

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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.