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Finding the Fourth Proportional to 76,553.52, 114,824.07 and 48,391.44

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Solution

The fourth proportional to 76,553.52, 114,824.07 and 48,391.44 is: 72,583.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,553.52 : 114,824.07 = 48,391.44 : x
  2. Step 2: Convert to fraction form
    76,553.52/114,824.07 = 48,391.44/x
  3. Step 3: Cross multiply
    76,553.52x = 114,824.07 × 48,391.44
  4. Step 4: Simplify right side
    76,553.52x = 5,556,502,093.96
  5. Step 5: Solve for x
    x = 5,556,502,093.96/76,553.52
  6. Step 6: Final answer
    x = 72,583.23

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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.