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Finding the Fourth Proportional to 55,242.56, 76,235.52 and 30,092

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Solution

The fourth proportional to 55,242.56, 76,235.52 and 30,092 is: 41,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,242.56 : 76,235.52 = 30,092 : x
  2. Step 2: Convert to fraction form
    55,242.56/76,235.52 = 30,092/x
  3. Step 3: Cross multiply
    55,242.56x = 76,235.52 × 30,092
  4. Step 4: Simplify right side
    55,242.56x = 2,294,079,267.84
  5. Step 5: Solve for x
    x = 2,294,079,267.84/55,242.56
  6. Step 6: Final answer
    x = 41,527.39

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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.