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Finding the Fourth Proportional to 77,574.82, 116,380.44 and 24,982.32

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Solution

The fourth proportional to 77,574.82, 116,380.44 and 24,982.32 is: 37,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,574.82 : 116,380.44 = 24,982.32 : x
  2. Step 2: Convert to fraction form
    77,574.82/116,380.44 = 24,982.32/x
  3. Step 3: Cross multiply
    77,574.82x = 116,380.44 × 24,982.32
  4. Step 4: Simplify right side
    77,574.82x = 2,907,453,393.82
  5. Step 5: Solve for x
    x = 2,907,453,393.82/77,574.82
  6. Step 6: Final answer
    x = 37,479.34

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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.