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Finding the Fourth Proportional to 50,077.64, 75,092.27 and 18,502.58

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Solution

The fourth proportional to 50,077.64, 75,092.27 and 18,502.58 is: 27,744.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,077.64 : 75,092.27 = 18,502.58 : x
  2. Step 2: Convert to fraction form
    50,077.64/75,092.27 = 18,502.58/x
  3. Step 3: Cross multiply
    50,077.64x = 75,092.27 × 18,502.58
  4. Step 4: Simplify right side
    50,077.64x = 1,389,400,405.88
  5. Step 5: Solve for x
    x = 1,389,400,405.88/50,077.64
  6. Step 6: Final answer
    x = 27,744.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.