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Finding the Fourth Proportional to 71,582.93, 107,388.23 and 27,206.22

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Solution

The fourth proportional to 71,582.93, 107,388.23 and 27,206.22 is: 40,814.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,582.93 : 107,388.23 = 27,206.22 : x
  2. Step 2: Convert to fraction form
    71,582.93/107,388.23 = 27,206.22/x
  3. Step 3: Cross multiply
    71,582.93x = 107,388.23 × 27,206.22
  4. Step 4: Simplify right side
    71,582.93x = 2,921,627,878.81
  5. Step 5: Solve for x
    x = 2,921,627,878.81/71,582.93
  6. Step 6: Final answer
    x = 40,814.59

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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.