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Finding the Fourth Proportional to 75,084.12, 103,615.16 and 41,092.47

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Solution

The fourth proportional to 75,084.12, 103,615.16 and 41,092.47 is: 56,707.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,084.12 : 103,615.16 = 41,092.47 : x
  2. Step 2: Convert to fraction form
    75,084.12/103,615.16 = 41,092.47/x
  3. Step 3: Cross multiply
    75,084.12x = 103,615.16 × 41,092.47
  4. Step 4: Simplify right side
    75,084.12x = 4,257,802,648.38
  5. Step 5: Solve for x
    x = 4,257,802,648.38/75,084.12
  6. Step 6: Final answer
    x = 56,707.10

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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.