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Finding the Fourth Proportional to 84,108.43, 116,066.37 and 47,814.63

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Solution

The fourth proportional to 84,108.43, 116,066.37 and 47,814.63 is: 65,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,108.43 : 116,066.37 = 47,814.63 : x
  2. Step 2: Convert to fraction form
    84,108.43/116,066.37 = 47,814.63/x
  3. Step 3: Cross multiply
    84,108.43x = 116,066.37 × 47,814.63
  4. Step 4: Simplify right side
    84,108.43x = 5,549,670,012.09
  5. Step 5: Solve for x
    x = 5,549,670,012.09/84,108.43
  6. Step 6: Final answer
    x = 65,982.33

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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.