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Finding the Fourth Proportional to 84,249.92, 116,264.94 and 46,010

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Solution

The fourth proportional to 84,249.92, 116,264.94 and 46,010 is: 63,493.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,249.92 : 116,264.94 = 46,010 : x
  2. Step 2: Convert to fraction form
    84,249.92/116,264.94 = 46,010/x
  3. Step 3: Cross multiply
    84,249.92x = 116,264.94 × 46,010
  4. Step 4: Simplify right side
    84,249.92x = 5,349,349,889.40
  5. Step 5: Solve for x
    x = 5,349,349,889.40/84,249.92
  6. Step 6: Final answer
    x = 63,493.83

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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.