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Finding the Fourth Proportional to 34,597.84, 51,959.40 and 31,819.54

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Solution

The fourth proportional to 34,597.84, 51,959.40 and 31,819.54 is: 47,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,597.84 : 51,959.40 = 31,819.54 : x
  2. Step 2: Convert to fraction form
    34,597.84/51,959.40 = 31,819.54/x
  3. Step 3: Cross multiply
    34,597.84x = 51,959.40 × 31,819.54
  4. Step 4: Simplify right side
    34,597.84x = 1,653,324,206.68
  5. Step 5: Solve for x
    x = 1,653,324,206.68/34,597.84
  6. Step 6: Final answer
    x = 47,786.92

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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.