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Finding the Fourth Proportional to 82,982.34, 114,513.89 and 45,256.59

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Solution

The fourth proportional to 82,982.34, 114,513.89 and 45,256.59 is: 62,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982.34 : 114,513.89 = 45,256.59 : x
  2. Step 2: Convert to fraction form
    82,982.34/114,513.89 = 45,256.59/x
  3. Step 3: Cross multiply
    82,982.34x = 114,513.89 × 45,256.59
  4. Step 4: Simplify right side
    82,982.34x = 5,182,507,942.75
  5. Step 5: Solve for x
    x = 5,182,507,942.75/82,982.34
  6. Step 6: Final answer
    x = 62,453.14

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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.