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Finding the Fourth Proportional to 76,522.05, 114,666.17 and 51,469.43

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Solution

The fourth proportional to 76,522.05, 114,666.17 and 51,469.43 is: 77,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,522.05 : 114,666.17 = 51,469.43 : x
  2. Step 2: Convert to fraction form
    76,522.05/114,666.17 = 51,469.43/x
  3. Step 3: Cross multiply
    76,522.05x = 114,666.17 × 51,469.43
  4. Step 4: Simplify right side
    76,522.05x = 5,901,801,579.51
  5. Step 5: Solve for x
    x = 5,901,801,579.51/76,522.05
  6. Step 6: Final answer
    x = 77,125.50

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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.