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Finding the Fourth Proportional to 127,035.44, 190,553.14 and 33,542

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Solution

The fourth proportional to 127,035.44, 190,553.14 and 33,542 is: 50,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,035.44 : 190,553.14 = 33,542 : x
  2. Step 2: Convert to fraction form
    127,035.44/190,553.14 = 33,542/x
  3. Step 3: Cross multiply
    127,035.44x = 190,553.14 × 33,542
  4. Step 4: Simplify right side
    127,035.44x = 6,391,533,421.88
  5. Step 5: Solve for x
    x = 6,391,533,421.88/127,035.44
  6. Step 6: Final answer
    x = 50,312.99

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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.