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Finding the Fourth Proportional to 75,285.69, 103,893.54 and 41,293.50

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Solution

The fourth proportional to 75,285.69, 103,893.54 and 41,293.50 is: 56,984.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,285.69 : 103,893.54 = 41,293.50 : x
  2. Step 2: Convert to fraction form
    75,285.69/103,893.54 = 41,293.50/x
  3. Step 3: Cross multiply
    75,285.69x = 103,893.54 × 41,293.50
  4. Step 4: Simplify right side
    75,285.69x = 4,290,127,349.54
  5. Step 5: Solve for x
    x = 4,290,127,349.54/75,285.69
  6. Step 6: Final answer
    x = 56,984.63

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