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Finding the Fourth Proportional to 39,876.80, 59,793.60 and 16,505.60

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Solution

The fourth proportional to 39,876.80, 59,793.60 and 16,505.60 is: 24,749.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,876.80 : 59,793.60 = 16,505.60 : x
  2. Step 2: Convert to fraction form
    39,876.80/59,793.60 = 16,505.60/x
  3. Step 3: Cross multiply
    39,876.80x = 59,793.60 × 16,505.60
  4. Step 4: Simplify right side
    39,876.80x = 986,929,244.16
  5. Step 5: Solve for x
    x = 986,929,244.16/39,876.80
  6. Step 6: Final answer
    x = 24,749.46

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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.