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Finding the Fourth Proportional to 77,874.54, 116,821.58 and 30,483.51

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Solution

The fourth proportional to 77,874.54, 116,821.58 and 30,483.51 is: 45,729.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,874.54 : 116,821.58 = 30,483.51 : x
  2. Step 2: Convert to fraction form
    77,874.54/116,821.58 = 30,483.51/x
  3. Step 3: Cross multiply
    77,874.54x = 116,821.58 × 30,483.51
  4. Step 4: Simplify right side
    77,874.54x = 3,561,131,649.73
  5. Step 5: Solve for x
    x = 3,561,131,649.73/77,874.54
  6. Step 6: Final answer
    x = 45,729.09

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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.