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Finding the Fourth Proportional to 47,783.80, 71,610.90 and 31,943.80

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Solution

The fourth proportional to 47,783.80, 71,610.90 and 31,943.80 is: 47,872.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,783.80 : 71,610.90 = 31,943.80 : x
  2. Step 2: Convert to fraction form
    47,783.80/71,610.90 = 31,943.80/x
  3. Step 3: Cross multiply
    47,783.80x = 71,610.90 × 31,943.80
  4. Step 4: Simplify right side
    47,783.80x = 2,287,524,267.42
  5. Step 5: Solve for x
    x = 2,287,524,267.42/47,783.80
  6. Step 6: Final answer
    x = 47,872.38

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1.5x scale

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.