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Finding the Fourth Proportional to 73,780.74, 101,817.21 and 40,246.50

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Solution

The fourth proportional to 73,780.74, 101,817.21 and 40,246.50 is: 55,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,780.74 : 101,817.21 = 40,246.50 : x
  2. Step 2: Convert to fraction form
    73,780.74/101,817.21 = 40,246.50/x
  3. Step 3: Cross multiply
    73,780.74x = 101,817.21 × 40,246.50
  4. Step 4: Simplify right side
    73,780.74x = 4,097,786,342.27
  5. Step 5: Solve for x
    x = 4,097,786,342.27/73,780.74
  6. Step 6: Final answer
    x = 55,540.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.