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Finding the Fourth Proportional to 77,463, 116,196.12 and 22,059

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Solution

The fourth proportional to 77,463, 116,196.12 and 22,059 is: 33,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,463 : 116,196.12 = 22,059 : x
  2. Step 2: Convert to fraction form
    77,463/116,196.12 = 22,059/x
  3. Step 3: Cross multiply
    77,463x = 116,196.12 × 22,059
  4. Step 4: Simplify right side
    77,463x = 2,563,170,211.08
  5. Step 5: Solve for x
    x = 2,563,170,211.08/77,463
  6. Step 6: Final answer
    x = 33,088.96

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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.