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Finding the Fourth Proportional to 51,011.96, 76,419.82 and 31,027.22

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Solution

The fourth proportional to 51,011.96, 76,419.82 and 31,027.22 is: 46,481.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,011.96 : 76,419.82 = 31,027.22 : x
  2. Step 2: Convert to fraction form
    51,011.96/76,419.82 = 31,027.22/x
  3. Step 3: Cross multiply
    51,011.96x = 76,419.82 × 31,027.22
  4. Step 4: Simplify right side
    51,011.96x = 2,371,094,567.50
  5. Step 5: Solve for x
    x = 2,371,094,567.50/51,011.96
  6. Step 6: Final answer
    x = 46,481.15

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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.