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Finding the Fourth Proportional to 71,762.82, 107,651.57 and 27,426.89

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Solution

The fourth proportional to 71,762.82, 107,651.57 and 27,426.89 is: 41,143.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,762.82 : 107,651.57 = 27,426.89 : x
  2. Step 2: Convert to fraction form
    71,762.82/107,651.57 = 27,426.89/x
  3. Step 3: Cross multiply
    71,762.82x = 107,651.57 × 27,426.89
  4. Step 4: Simplify right side
    71,762.82x = 2,952,547,093.33
  5. Step 5: Solve for x
    x = 2,952,547,093.33/71,762.82
  6. Step 6: Final answer
    x = 41,143.13

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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.