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Finding the Fourth Proportional to 84,165.35, 126,247.86 and 49,080.40

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Solution

The fourth proportional to 84,165.35, 126,247.86 and 49,080.40 is: 73,620.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,165.35 : 126,247.86 = 49,080.40 : x
  2. Step 2: Convert to fraction form
    84,165.35/126,247.86 = 49,080.40/x
  3. Step 3: Cross multiply
    84,165.35x = 126,247.86 × 49,080.40
  4. Step 4: Simplify right side
    84,165.35x = 6,196,295,467.94
  5. Step 5: Solve for x
    x = 6,196,295,467.94/84,165.35
  6. Step 6: Final answer
    x = 73,620.50

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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.