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Finding the Fourth Proportional to 76,774.93, 115,092.23 and 65,004.54

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Solution

The fourth proportional to 76,774.93, 115,092.23 and 65,004.54 is: 97,447.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,774.93 : 115,092.23 = 65,004.54 : x
  2. Step 2: Convert to fraction form
    76,774.93/115,092.23 = 65,004.54/x
  3. Step 3: Cross multiply
    76,774.93x = 115,092.23 × 65,004.54
  4. Step 4: Simplify right side
    76,774.93x = 7,481,517,143.70
  5. Step 5: Solve for x
    x = 7,481,517,143.70/76,774.93
  6. Step 6: Final answer
    x = 97,447.40

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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.