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Finding the Fourth Proportional to 75,608.96, 113,457.38 and 41,878.40

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Solution

The fourth proportional to 75,608.96, 113,457.38 and 41,878.40 is: 62,841.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,608.96 : 113,457.38 = 41,878.40 : x
  2. Step 2: Convert to fraction form
    75,608.96/113,457.38 = 41,878.40/x
  3. Step 3: Cross multiply
    75,608.96x = 113,457.38 × 41,878.40
  4. Step 4: Simplify right side
    75,608.96x = 4,751,413,542.59
  5. Step 5: Solve for x
    x = 4,751,413,542.59/75,608.96
  6. Step 6: Final answer
    x = 62,841.94

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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.