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Finding the Fourth Proportional to 53,984.70, 80,977.05 and 47,423.70

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Solution

The fourth proportional to 53,984.70, 80,977.05 and 47,423.70 is: 71,135.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,984.70 : 80,977.05 = 47,423.70 : x
  2. Step 2: Convert to fraction form
    53,984.70/80,977.05 = 47,423.70/x
  3. Step 3: Cross multiply
    53,984.70x = 80,977.05 × 47,423.70
  4. Step 4: Simplify right side
    53,984.70x = 3,840,231,326.09
  5. Step 5: Solve for x
    x = 3,840,231,326.09/53,984.70
  6. Step 6: Final answer
    x = 71,135.55

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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.