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Finding the Fourth Proportional to 83,054.21, 114,574.96 and 54,361.25

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Solution

The fourth proportional to 83,054.21, 114,574.96 and 54,361.25 is: 74,992.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.21 : 114,574.96 = 54,361.25 : x
  2. Step 2: Convert to fraction form
    83,054.21/114,574.96 = 54,361.25/x
  3. Step 3: Cross multiply
    83,054.21x = 114,574.96 × 54,361.25
  4. Step 4: Simplify right side
    83,054.21x = 6,228,437,539.38
  5. Step 5: Solve for x
    x = 6,228,437,539.38/83,054.21
  6. Step 6: Final answer
    x = 74,992.43

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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.