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Finding the Fourth Proportional to 76,000.88, 114,022.20 and 31,648.40

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Solution

The fourth proportional to 76,000.88, 114,022.20 and 31,648.40 is: 47,481.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,000.88 : 114,022.20 = 31,648.40 : x
  2. Step 2: Convert to fraction form
    76,000.88/114,022.20 = 31,648.40/x
  3. Step 3: Cross multiply
    76,000.88x = 114,022.20 × 31,648.40
  4. Step 4: Simplify right side
    76,000.88x = 3,608,620,194.48
  5. Step 5: Solve for x
    x = 3,608,620,194.48/76,000.88
  6. Step 6: Final answer
    x = 47,481.29

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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.