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Finding the Fourth Proportional to 77,450.35, 116,077.10 and 42,349

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Solution

The fourth proportional to 77,450.35, 116,077.10 and 42,349 is: 63,469.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,450.35 : 116,077.10 = 42,349 : x
  2. Step 2: Convert to fraction form
    77,450.35/116,077.10 = 42,349/x
  3. Step 3: Cross multiply
    77,450.35x = 116,077.10 × 42,349
  4. Step 4: Simplify right side
    77,450.35x = 4,915,749,107.90
  5. Step 5: Solve for x
    x = 4,915,749,107.90/77,450.35
  6. Step 6: Final answer
    x = 63,469.68

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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.