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Finding the Fourth Proportional to 76,022.67, 114,031.68 and 31,648.31

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Solution

The fourth proportional to 76,022.67, 114,031.68 and 31,648.31 is: 47,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,022.67 : 114,031.68 = 31,648.31 : x
  2. Step 2: Convert to fraction form
    76,022.67/114,031.68 = 31,648.31/x
  3. Step 3: Cross multiply
    76,022.67x = 114,031.68 × 31,648.31
  4. Step 4: Simplify right side
    76,022.67x = 3,608,909,958.46
  5. Step 5: Solve for x
    x = 3,608,909,958.46/76,022.67
  6. Step 6: Final answer
    x = 47,471.50

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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.