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Finding the Fourth Proportional to 77,394.30, 115,942.41 and 65,678.46

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Solution

The fourth proportional to 77,394.30, 115,942.41 and 65,678.46 is: 98,391.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,394.30 : 115,942.41 = 65,678.46 : x
  2. Step 2: Convert to fraction form
    77,394.30/115,942.41 = 65,678.46/x
  3. Step 3: Cross multiply
    77,394.30x = 115,942.41 × 65,678.46
  4. Step 4: Simplify right side
    77,394.30x = 7,614,918,937.49
  5. Step 5: Solve for x
    x = 7,614,918,937.49/77,394.30
  6. Step 6: Final answer
    x = 98,391.21

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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.