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Finding the Fourth Proportional to 38,485.80, 57,771.90 and 29,759.40

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Solution

The fourth proportional to 38,485.80, 57,771.90 and 29,759.40 is: 44,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.80 : 57,771.90 = 29,759.40 : x
  2. Step 2: Convert to fraction form
    38,485.80/57,771.90 = 29,759.40/x
  3. Step 3: Cross multiply
    38,485.80x = 57,771.90 × 29,759.40
  4. Step 4: Simplify right side
    38,485.80x = 1,719,257,080.86
  5. Step 5: Solve for x
    x = 1,719,257,080.86/38,485.80
  6. Step 6: Final answer
    x = 44,672.50

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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.