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Finding the Fourth Proportional to 107,871.44, 161,796.24 and 28,975.44

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Solution

The fourth proportional to 107,871.44, 161,796.24 and 28,975.44 is: 43,460.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,871.44 : 161,796.24 = 28,975.44 : x
  2. Step 2: Convert to fraction form
    107,871.44/161,796.24 = 28,975.44/x
  3. Step 3: Cross multiply
    107,871.44x = 161,796.24 × 28,975.44
  4. Step 4: Simplify right side
    107,871.44x = 4,688,117,244.35
  5. Step 5: Solve for x
    x = 4,688,117,244.35/107,871.44
  6. Step 6: Final answer
    x = 43,460.23

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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.