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Finding the Fourth Proportional to 127,083.60, 190,635.12 and 33,588

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Solution

The fourth proportional to 127,083.60, 190,635.12 and 33,588 is: 50,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,083.60 : 190,635.12 = 33,588 : x
  2. Step 2: Convert to fraction form
    127,083.60/190,635.12 = 33,588/x
  3. Step 3: Cross multiply
    127,083.60x = 190,635.12 × 33,588
  4. Step 4: Simplify right side
    127,083.60x = 6,403,052,410.56
  5. Step 5: Solve for x
    x = 6,403,052,410.56/127,083.60
  6. Step 6: Final answer
    x = 50,384.57

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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.