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Finding the Fourth Proportional to 84,093.90, 116,048.10 and 45,853.75

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Solution

The fourth proportional to 84,093.90, 116,048.10 and 45,853.75 is: 63,277.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,093.90 : 116,048.10 = 45,853.75 : x
  2. Step 2: Convert to fraction form
    84,093.90/116,048.10 = 45,853.75/x
  3. Step 3: Cross multiply
    84,093.90x = 116,048.10 × 45,853.75
  4. Step 4: Simplify right side
    84,093.90x = 5,321,240,565.38
  5. Step 5: Solve for x
    x = 5,321,240,565.38/84,093.90
  6. Step 6: Final answer
    x = 63,277.37

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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.