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Finding the Fourth Proportional to 38,234.60, 52,766.34 and 28,788.20

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Solution

The fourth proportional to 38,234.60, 52,766.34 and 28,788.20 is: 39,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,234.60 : 52,766.34 = 28,788.20 : x
  2. Step 2: Convert to fraction form
    38,234.60/52,766.34 = 28,788.20/x
  3. Step 3: Cross multiply
    38,234.60x = 52,766.34 × 28,788.20
  4. Step 4: Simplify right side
    38,234.60x = 1,519,047,949.19
  5. Step 5: Solve for x
    x = 1,519,047,949.19/38,234.60
  6. Step 6: Final answer
    x = 39,729.67

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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.