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Finding the Fourth Proportional to 51,034.42, 76,564.18 and 17,754.77

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Solution

The fourth proportional to 51,034.42, 76,564.18 and 17,754.77 is: 26,636.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,034.42 : 76,564.18 = 17,754.77 : x
  2. Step 2: Convert to fraction form
    51,034.42/76,564.18 = 17,754.77/x
  3. Step 3: Cross multiply
    51,034.42x = 76,564.18 × 17,754.77
  4. Step 4: Simplify right side
    51,034.42x = 1,359,378,978.93
  5. Step 5: Solve for x
    x = 1,359,378,978.93/51,034.42
  6. Step 6: Final answer
    x = 26,636.51

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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.