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Finding the Fourth Proportional to 127,154.28, 190,709.82 and 33,669.48

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Solution

The fourth proportional to 127,154.28, 190,709.82 and 33,669.48 is: 50,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,154.28 : 190,709.82 = 33,669.48 : x
  2. Step 2: Convert to fraction form
    127,154.28/190,709.82 = 33,669.48/x
  3. Step 3: Cross multiply
    127,154.28x = 190,709.82 × 33,669.48
  4. Step 4: Simplify right side
    127,154.28x = 6,421,100,470.29
  5. Step 5: Solve for x
    x = 6,421,100,470.29/127,154.28
  6. Step 6: Final answer
    x = 50,498.50

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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.