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Finding the Fourth Proportional to 71,578.88, 107,404 and 32,164.16

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Solution

The fourth proportional to 71,578.88, 107,404 and 32,164.16 is: 48,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,578.88 : 107,404 = 32,164.16 : x
  2. Step 2: Convert to fraction form
    71,578.88/107,404 = 32,164.16/x
  3. Step 3: Cross multiply
    71,578.88x = 107,404 × 32,164.16
  4. Step 4: Simplify right side
    71,578.88x = 3,454,559,440.64
  5. Step 5: Solve for x
    x = 3,454,559,440.64/71,578.88
  6. Step 6: Final answer
    x = 48,262.27

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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.