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Finding the Fourth Proportional to 127,135.86, 190,712.91 and 33,640.50

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Solution

The fourth proportional to 127,135.86, 190,712.91 and 33,640.50 is: 50,463.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,135.86 : 190,712.91 = 33,640.50 : x
  2. Step 2: Convert to fraction form
    127,135.86/190,712.91 = 33,640.50/x
  3. Step 3: Cross multiply
    127,135.86x = 190,712.91 × 33,640.50
  4. Step 4: Simplify right side
    127,135.86x = 6,415,677,648.86
  5. Step 5: Solve for x
    x = 6,415,677,648.86/127,135.86
  6. Step 6: Final answer
    x = 50,463.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.