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Finding the Fourth Proportional to 55,192.56, 76,167.12 and 30,042

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Solution

The fourth proportional to 55,192.56, 76,167.12 and 30,042 is: 41,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,192.56 : 76,167.12 = 30,042 : x
  2. Step 2: Convert to fraction form
    55,192.56/76,167.12 = 30,042/x
  3. Step 3: Cross multiply
    55,192.56x = 76,167.12 × 30,042
  4. Step 4: Simplify right side
    55,192.56x = 2,288,212,619.04
  5. Step 5: Solve for x
    x = 2,288,212,619.04/55,192.56
  6. Step 6: Final answer
    x = 41,458.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.