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Finding the Fourth Proportional to 110,943.40, 166,415.10 and 48,735.40

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Solution

The fourth proportional to 110,943.40, 166,415.10 and 48,735.40 is: 73,103.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,943.40 : 166,415.10 = 48,735.40 : x
  2. Step 2: Convert to fraction form
    110,943.40/166,415.10 = 48,735.40/x
  3. Step 3: Cross multiply
    110,943.40x = 166,415.10 × 48,735.40
  4. Step 4: Simplify right side
    110,943.40x = 8,110,306,464.54
  5. Step 5: Solve for x
    x = 8,110,306,464.54/110,943.40
  6. Step 6: Final answer
    x = 73,103.10

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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.