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Finding the Fourth Proportional to 108,083.56, 162,132.06 and 45,733

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Solution

The fourth proportional to 108,083.56, 162,132.06 and 45,733 is: 68,602.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,083.56 : 162,132.06 = 45,733 : x
  2. Step 2: Convert to fraction form
    108,083.56/162,132.06 = 45,733/x
  3. Step 3: Cross multiply
    108,083.56x = 162,132.06 × 45,733
  4. Step 4: Simplify right side
    108,083.56x = 7,414,785,499.98
  5. Step 5: Solve for x
    x = 7,414,785,499.98/108,083.56
  6. Step 6: Final answer
    x = 68,602.34

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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.