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Finding the Fourth Proportional to 51,954.76, 71,698.26 and 30,733.48

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Solution

The fourth proportional to 51,954.76, 71,698.26 and 30,733.48 is: 42,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,954.76 : 71,698.26 = 30,733.48 : x
  2. Step 2: Convert to fraction form
    51,954.76/71,698.26 = 30,733.48/x
  3. Step 3: Cross multiply
    51,954.76x = 71,698.26 × 30,733.48
  4. Step 4: Simplify right side
    51,954.76x = 2,203,537,039.74
  5. Step 5: Solve for x
    x = 2,203,537,039.74/51,954.76
  6. Step 6: Final answer
    x = 42,412.61

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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.