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Finding the Fourth Proportional to 51,309.82, 70,819.38 and 30,095.92

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Solution

The fourth proportional to 51,309.82, 70,819.38 and 30,095.92 is: 41,539.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,309.82 : 70,819.38 = 30,095.92 : x
  2. Step 2: Convert to fraction form
    51,309.82/70,819.38 = 30,095.92/x
  3. Step 3: Cross multiply
    51,309.82x = 70,819.38 × 30,095.92
  4. Step 4: Simplify right side
    51,309.82x = 2,131,374,483.45
  5. Step 5: Solve for x
    x = 2,131,374,483.45/51,309.82
  6. Step 6: Final answer
    x = 41,539.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.