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Finding the Fourth Proportional to 38,777.60, 58,166.40 and 36,166.40

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Solution

The fourth proportional to 38,777.60, 58,166.40 and 36,166.40 is: 54,249.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,777.60 : 58,166.40 = 36,166.40 : x
  2. Step 2: Convert to fraction form
    38,777.60/58,166.40 = 36,166.40/x
  3. Step 3: Cross multiply
    38,777.60x = 58,166.40 × 36,166.40
  4. Step 4: Simplify right side
    38,777.60x = 2,103,669,288.96
  5. Step 5: Solve for x
    x = 2,103,669,288.96/38,777.60
  6. Step 6: Final answer
    x = 54,249.60

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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.