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Finding the Fourth Proportional to 84,054.53, 115,993.76 and 45,814.43

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Solution

The fourth proportional to 84,054.53, 115,993.76 and 45,814.43 is: 63,223.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,054.53 : 115,993.76 = 45,814.43 : x
  2. Step 2: Convert to fraction form
    84,054.53/115,993.76 = 45,814.43/x
  3. Step 3: Cross multiply
    84,054.53x = 115,993.76 × 45,814.43
  4. Step 4: Simplify right side
    84,054.53x = 5,314,188,058.87
  5. Step 5: Solve for x
    x = 5,314,188,058.87/84,054.53
  6. Step 6: Final answer
    x = 63,223.10

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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.