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Finding the Fourth Proportional to 83,483.38, 125,185.43 and 48,433.78

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Solution

The fourth proportional to 83,483.38, 125,185.43 and 48,433.78 is: 72,627.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,483.38 : 125,185.43 = 48,433.78 : x
  2. Step 2: Convert to fraction form
    83,483.38/125,185.43 = 48,433.78/x
  3. Step 3: Cross multiply
    83,483.38x = 125,185.43 × 48,433.78
  4. Step 4: Simplify right side
    83,483.38x = 6,063,203,575.83
  5. Step 5: Solve for x
    x = 6,063,203,575.83/83,483.38
  6. Step 6: Final answer
    x = 72,627.67

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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.