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Finding the Fourth Proportional to 55,546.50, 76,654.17 and 30,396

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Solution

The fourth proportional to 55,546.50, 76,654.17 and 30,396 is: 41,946.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,546.50 : 76,654.17 = 30,396 : x
  2. Step 2: Convert to fraction form
    55,546.50/76,654.17 = 30,396/x
  3. Step 3: Cross multiply
    55,546.50x = 76,654.17 × 30,396
  4. Step 4: Simplify right side
    55,546.50x = 2,329,980,151.32
  5. Step 5: Solve for x
    x = 2,329,980,151.32/55,546.50
  6. Step 6: Final answer
    x = 41,946.48

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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.