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Finding the Fourth Proportional to 127,796.54, 191,729.32 and 39,047.62

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Solution

The fourth proportional to 127,796.54, 191,729.32 and 39,047.62 is: 58,581.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,796.54 : 191,729.32 = 39,047.62 : x
  2. Step 2: Convert to fraction form
    127,796.54/191,729.32 = 39,047.62/x
  3. Step 3: Cross multiply
    127,796.54x = 191,729.32 × 39,047.62
  4. Step 4: Simplify right side
    127,796.54x = 7,486,573,630.22
  5. Step 5: Solve for x
    x = 7,486,573,630.22/127,796.54
  6. Step 6: Final answer
    x = 58,581.97

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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.