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Finding the Fourth Proportional to 75,205.90, 103,784.14 and 44,992.48

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Solution

The fourth proportional to 75,205.90, 103,784.14 and 44,992.48 is: 62,089.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,205.90 : 103,784.14 = 44,992.48 : x
  2. Step 2: Convert to fraction form
    75,205.90/103,784.14 = 44,992.48/x
  3. Step 3: Cross multiply
    75,205.90x = 103,784.14 × 44,992.48
  4. Step 4: Simplify right side
    75,205.90x = 4,669,505,843.27
  5. Step 5: Solve for x
    x = 4,669,505,843.27/75,205.90
  6. Step 6: Final answer
    x = 62,089.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.