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Finding the Fourth Proportional to 55,306.56, 76,323.04 and 30,156

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Solution

The fourth proportional to 55,306.56, 76,323.04 and 30,156 is: 41,615.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,306.56 : 76,323.04 = 30,156 : x
  2. Step 2: Convert to fraction form
    55,306.56/76,323.04 = 30,156/x
  3. Step 3: Cross multiply
    55,306.56x = 76,323.04 × 30,156
  4. Step 4: Simplify right side
    55,306.56x = 2,301,597,594.24
  5. Step 5: Solve for x
    x = 2,301,597,594.24/55,306.56
  6. Step 6: Final answer
    x = 41,615.27

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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.