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Finding the Fourth Proportional to 73,874.19, 110,852.19 and 45,809.31

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Solution

The fourth proportional to 73,874.19, 110,852.19 and 45,809.31 is: 68,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,874.19 : 110,852.19 = 45,809.31 : x
  2. Step 2: Convert to fraction form
    73,874.19/110,852.19 = 45,809.31/x
  3. Step 3: Cross multiply
    73,874.19x = 110,852.19 × 45,809.31
  4. Step 4: Simplify right side
    73,874.19x = 5,078,062,335.89
  5. Step 5: Solve for x
    x = 5,078,062,335.89/73,874.19
  6. Step 6: Final answer
    x = 68,739.33

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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.