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Finding the Fourth Proportional to 33,978.43, 50,957.92 and 10,598.59

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Solution

The fourth proportional to 33,978.43, 50,957.92 and 10,598.59 is: 15,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.43 : 50,957.92 = 10,598.59 : x
  2. Step 2: Convert to fraction form
    33,978.43/50,957.92 = 10,598.59/x
  3. Step 3: Cross multiply
    33,978.43x = 50,957.92 × 10,598.59
  4. Step 4: Simplify right side
    33,978.43x = 540,082,101.33
  5. Step 5: Solve for x
    x = 540,082,101.33/33,978.43
  6. Step 6: Final answer
    x = 15,894.85

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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.