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Finding the Fourth Proportional to 83,054.72, 114,575.65 and 54,361.75

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Solution

The fourth proportional to 83,054.72, 114,575.65 and 54,361.75 is: 74,993.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,054.72 : 114,575.65 = 54,361.75 : x
  2. Step 2: Convert to fraction form
    83,054.72/114,575.65 = 54,361.75/x
  3. Step 3: Cross multiply
    83,054.72x = 114,575.65 × 54,361.75
  4. Step 4: Simplify right side
    83,054.72x = 6,228,532,268.51
  5. Step 5: Solve for x
    x = 6,228,532,268.51/83,054.72
  6. Step 6: Final answer
    x = 74,993.12

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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.