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Finding the Fourth Proportional to 51,358.48, 70,884 and 33,231.52

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Solution

The fourth proportional to 51,358.48, 70,884 and 33,231.52 is: 45,865.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,358.48 : 70,884 = 33,231.52 : x
  2. Step 2: Convert to fraction form
    51,358.48/70,884 = 33,231.52/x
  3. Step 3: Cross multiply
    51,358.48x = 70,884 × 33,231.52
  4. Step 4: Simplify right side
    51,358.48x = 2,355,583,063.68
  5. Step 5: Solve for x
    x = 2,355,583,063.68/51,358.48
  6. Step 6: Final answer
    x = 45,865.51

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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.