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Finding the Fourth Proportional to 83,054.85, 114,575.82 and 54,361.87

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Solution

The fourth proportional to 83,054.85, 114,575.82 and 54,361.87 is: 74,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.85 : 114,575.82 = 54,361.87 : x
  2. Step 2: Convert to fraction form
    83,054.85/114,575.82 = 54,361.87/x
  3. Step 3: Cross multiply
    83,054.85x = 114,575.82 × 54,361.87
  4. Step 4: Simplify right side
    83,054.85x = 6,228,555,831.98
  5. Step 5: Solve for x
    x = 6,228,555,831.98/83,054.85
  6. Step 6: Final answer
    x = 74,993.28

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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.