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Finding the Fourth Proportional to 83,108.89, 114,689.68 and 45,383.14

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Solution

The fourth proportional to 83,108.89, 114,689.68 and 45,383.14 is: 62,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,108.89 : 114,689.68 = 45,383.14 : x
  2. Step 2: Convert to fraction form
    83,108.89/114,689.68 = 45,383.14/x
  3. Step 3: Cross multiply
    83,108.89x = 114,689.68 × 45,383.14
  4. Step 4: Simplify right side
    83,108.89x = 5,204,977,804.00
  5. Step 5: Solve for x
    x = 5,204,977,804.00/83,108.89
  6. Step 6: Final answer
    x = 62,628.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.