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Finding the Fourth Proportional to 71,615.09, 107,394.42 and 26,012

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Solution

The fourth proportional to 71,615.09, 107,394.42 and 26,012 is: 39,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,615.09 : 107,394.42 = 26,012 : x
  2. Step 2: Convert to fraction form
    71,615.09/107,394.42 = 26,012/x
  3. Step 3: Cross multiply
    71,615.09x = 107,394.42 × 26,012
  4. Step 4: Simplify right side
    71,615.09x = 2,793,543,653.04
  5. Step 5: Solve for x
    x = 2,793,543,653.04/71,615.09
  6. Step 6: Final answer
    x = 39,007.75

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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.