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Finding the Fourth Proportional to 74,351.80, 111,459.26 and 32,205.40

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Solution

The fourth proportional to 74,351.80, 111,459.26 and 32,205.40 is: 48,278.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,351.80 : 111,459.26 = 32,205.40 : x
  2. Step 2: Convert to fraction form
    74,351.80/111,459.26 = 32,205.40/x
  3. Step 3: Cross multiply
    74,351.80x = 111,459.26 × 32,205.40
  4. Step 4: Simplify right side
    74,351.80x = 3,589,590,052.00
  5. Step 5: Solve for x
    x = 3,589,590,052.00/74,351.80
  6. Step 6: Final answer
    x = 48,278.46

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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.