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Finding the Fourth Proportional to 84,231.52, 116,237.68 and 45,989.59

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Solution

The fourth proportional to 84,231.52, 116,237.68 and 45,989.59 is: 63,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,231.52 : 116,237.68 = 45,989.59 : x
  2. Step 2: Convert to fraction form
    84,231.52/116,237.68 = 45,989.59/x
  3. Step 3: Cross multiply
    84,231.52x = 116,237.68 × 45,989.59
  4. Step 4: Simplify right side
    84,231.52x = 5,345,723,245.75
  5. Step 5: Solve for x
    x = 5,345,723,245.75/84,231.52
  6. Step 6: Final answer
    x = 63,464.64

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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.