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Finding the Fourth Proportional to 71,548.67, 98,741.75 and 41,335.26

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Solution

The fourth proportional to 71,548.67, 98,741.75 and 41,335.26 is: 57,045.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,548.67 : 98,741.75 = 41,335.26 : x
  2. Step 2: Convert to fraction form
    71,548.67/98,741.75 = 41,335.26/x
  3. Step 3: Cross multiply
    71,548.67x = 98,741.75 × 41,335.26
  4. Step 4: Simplify right side
    71,548.67x = 4,081,515,702.43
  5. Step 5: Solve for x
    x = 4,081,515,702.43/71,548.67
  6. Step 6: Final answer
    x = 57,045.31

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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.