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Finding the Fourth Proportional to 77,318.82, 115,976.70 and 24,728.22

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Solution

The fourth proportional to 77,318.82, 115,976.70 and 24,728.22 is: 37,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,318.82 : 115,976.70 = 24,728.22 : x
  2. Step 2: Convert to fraction form
    77,318.82/115,976.70 = 24,728.22/x
  3. Step 3: Cross multiply
    77,318.82x = 115,976.70 × 24,728.22
  4. Step 4: Simplify right side
    77,318.82x = 2,867,897,352.47
  5. Step 5: Solve for x
    x = 2,867,897,352.47/77,318.82
  6. Step 6: Final answer
    x = 37,091.84

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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.