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Finding the Fourth Proportional to 127,769.60, 191,727.30 and 48,940.40

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Solution

The fourth proportional to 127,769.60, 191,727.30 and 48,940.40 is: 73,438.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,769.60 : 191,727.30 = 48,940.40 : x
  2. Step 2: Convert to fraction form
    127,769.60/191,727.30 = 48,940.40/x
  3. Step 3: Cross multiply
    127,769.60x = 191,727.30 × 48,940.40
  4. Step 4: Simplify right side
    127,769.60x = 9,383,210,752.92
  5. Step 5: Solve for x
    x = 9,383,210,752.92/127,769.60
  6. Step 6: Final answer
    x = 73,438.52

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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.