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Finding the Fourth Proportional to 71,588.51, 107,348.90 and 26,578.83

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Solution

The fourth proportional to 71,588.51, 107,348.90 and 26,578.83 is: 39,855.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,588.51 : 107,348.90 = 26,578.83 : x
  2. Step 2: Convert to fraction form
    71,588.51/107,348.90 = 26,578.83/x
  3. Step 3: Cross multiply
    71,588.51x = 107,348.90 × 26,578.83
  4. Step 4: Simplify right side
    71,588.51x = 2,853,208,433.45
  5. Step 5: Solve for x
    x = 2,853,208,433.45/71,588.51
  6. Step 6: Final answer
    x = 39,855.68

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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.