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Finding the Fourth Proportional to 127,647, 191,470.50 and 34,150.32

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Solution

The fourth proportional to 127,647, 191,470.50 and 34,150.32 is: 51,225.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,647 : 191,470.50 = 34,150.32 : x
  2. Step 2: Convert to fraction form
    127,647/191,470.50 = 34,150.32/x
  3. Step 3: Cross multiply
    127,647x = 191,470.50 × 34,150.32
  4. Step 4: Simplify right side
    127,647x = 6,538,778,845.56
  5. Step 5: Solve for x
    x = 6,538,778,845.56/127,647
  6. Step 6: Final answer
    x = 51,225.48

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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.