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Finding the Fourth Proportional to 51,900, 77,905.44 and 22,332.48

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Solution

The fourth proportional to 51,900, 77,905.44 and 22,332.48 is: 33,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,900 : 77,905.44 = 22,332.48 : x
  2. Step 2: Convert to fraction form
    51,900/77,905.44 = 22,332.48/x
  3. Step 3: Cross multiply
    51,900x = 77,905.44 × 22,332.48
  4. Step 4: Simplify right side
    51,900x = 1,739,821,680.69
  5. Step 5: Solve for x
    x = 1,739,821,680.69/51,900
  6. Step 6: Final answer
    x = 33,522.58

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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.