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Finding the Fourth Proportional to 127,902.43, 191,858.71 and 47,932.04

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Solution

The fourth proportional to 127,902.43, 191,858.71 and 47,932.04 is: 71,899.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,902.43 : 191,858.71 = 47,932.04 : x
  2. Step 2: Convert to fraction form
    127,902.43/191,858.71 = 47,932.04/x
  3. Step 3: Cross multiply
    127,902.43x = 191,858.71 × 47,932.04
  4. Step 4: Simplify right side
    127,902.43x = 9,196,179,362.07
  5. Step 5: Solve for x
    x = 9,196,179,362.07/127,902.43
  6. Step 6: Final answer
    x = 71,899.96

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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.