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Finding the Fourth Proportional to 107,703.44, 161,542.80 and 28,823.82

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Solution

The fourth proportional to 107,703.44, 161,542.80 and 28,823.82 is: 43,232.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,703.44 : 161,542.80 = 28,823.82 : x
  2. Step 2: Convert to fraction form
    107,703.44/161,542.80 = 28,823.82/x
  3. Step 3: Cross multiply
    107,703.44x = 161,542.80 × 28,823.82
  4. Step 4: Simplify right side
    107,703.44x = 4,656,280,589.50
  5. Step 5: Solve for x
    x = 4,656,280,589.50/107,703.44
  6. Step 6: Final answer
    x = 43,232.42

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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.