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Finding the Fourth Proportional to 75,080, 103,613.64 and 41,546

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Solution

The fourth proportional to 75,080, 103,613.64 and 41,546 is: 57,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,080 : 103,613.64 = 41,546 : x
  2. Step 2: Convert to fraction form
    75,080/103,613.64 = 41,546/x
  3. Step 3: Cross multiply
    75,080x = 103,613.64 × 41,546
  4. Step 4: Simplify right side
    75,080x = 4,304,732,287.44
  5. Step 5: Solve for x
    x = 4,304,732,287.44/75,080
  6. Step 6: Final answer
    x = 57,335.27

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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.