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Finding the Fourth Proportional to 71,968.78, 107,956.41 and 22,045.24

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Solution

The fourth proportional to 71,968.78, 107,956.41 and 22,045.24 is: 33,068.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,968.78 : 107,956.41 = 22,045.24 : x
  2. Step 2: Convert to fraction form
    71,968.78/107,956.41 = 22,045.24/x
  3. Step 3: Cross multiply
    71,968.78x = 107,956.41 × 22,045.24
  4. Step 4: Simplify right side
    71,968.78x = 2,379,924,967.99
  5. Step 5: Solve for x
    x = 2,379,924,967.99/71,968.78
  6. Step 6: Final answer
    x = 33,068.85

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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.