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Finding the Fourth Proportional to 127,034.44, 190,551.65 and 33,541

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Solution

The fourth proportional to 127,034.44, 190,551.65 and 33,541 is: 50,311.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,034.44 : 190,551.65 = 33,541 : x
  2. Step 2: Convert to fraction form
    127,034.44/190,551.65 = 33,541/x
  3. Step 3: Cross multiply
    127,034.44x = 190,551.65 × 33,541
  4. Step 4: Simplify right side
    127,034.44x = 6,391,292,724.95
  5. Step 5: Solve for x
    x = 6,391,292,724.95/127,034.44
  6. Step 6: Final answer
    x = 50,311.50

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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.