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Finding the Fourth Proportional to 82,945, 114,464.10 and 53,137

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Solution

The fourth proportional to 82,945, 114,464.10 and 53,137 is: 73,329.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,945 : 114,464.10 = 53,137 : x
  2. Step 2: Convert to fraction form
    82,945/114,464.10 = 53,137/x
  3. Step 3: Cross multiply
    82,945x = 114,464.10 × 53,137
  4. Step 4: Simplify right side
    82,945x = 6,082,278,881.70
  5. Step 5: Solve for x
    x = 6,082,278,881.70/82,945
  6. Step 6: Final answer
    x = 73,329.06

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Why These Related Problems?

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