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Finding the Fourth Proportional to 38,273.16, 57,388.14 and 11,970.84

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Solution

The fourth proportional to 38,273.16, 57,388.14 and 11,970.84 is: 17,949.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,273.16 : 57,388.14 = 11,970.84 : x
  2. Step 2: Convert to fraction form
    38,273.16/57,388.14 = 11,970.84/x
  3. Step 3: Cross multiply
    38,273.16x = 57,388.14 × 11,970.84
  4. Step 4: Simplify right side
    38,273.16x = 686,984,241.84
  5. Step 5: Solve for x
    x = 686,984,241.84/38,273.16
  6. Step 6: Final answer
    x = 17,949.50

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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.