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Finding the Fourth Proportional to 71,582.86, 107,386.86 and 27,213.49

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Solution

The fourth proportional to 71,582.86, 107,386.86 and 27,213.49 is: 40,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,582.86 : 107,386.86 = 27,213.49 : x
  2. Step 2: Convert to fraction form
    71,582.86/107,386.86 = 27,213.49/x
  3. Step 3: Cross multiply
    71,582.86x = 107,386.86 × 27,213.49
  4. Step 4: Simplify right side
    71,582.86x = 2,922,371,240.74
  5. Step 5: Solve for x
    x = 2,922,371,240.74/71,582.86
  6. Step 6: Final answer
    x = 40,825.01

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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.