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Finding the Fourth Proportional to 82,738.78, 114,178.89 and 45,013.30

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Solution

The fourth proportional to 82,738.78, 114,178.89 and 45,013.30 is: 62,118.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,738.78 : 114,178.89 = 45,013.30 : x
  2. Step 2: Convert to fraction form
    82,738.78/114,178.89 = 45,013.30/x
  3. Step 3: Cross multiply
    82,738.78x = 114,178.89 × 45,013.30
  4. Step 4: Simplify right side
    82,738.78x = 5,139,568,629.24
  5. Step 5: Solve for x
    x = 5,139,568,629.24/82,738.78
  6. Step 6: Final answer
    x = 62,118.01

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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.