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Finding the Fourth Proportional to 127,843.04, 191,766.12 and 48,962

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Solution

The fourth proportional to 127,843.04, 191,766.12 and 48,962 is: 73,443.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,843.04 : 191,766.12 = 48,962 : x
  2. Step 2: Convert to fraction form
    127,843.04/191,766.12 = 48,962/x
  3. Step 3: Cross multiply
    127,843.04x = 191,766.12 × 48,962
  4. Step 4: Simplify right side
    127,843.04x = 9,389,252,767.44
  5. Step 5: Solve for x
    x = 9,389,252,767.44/127,843.04
  6. Step 6: Final answer
    x = 73,443.60

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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.