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Finding the Fourth Proportional to 51,141.38, 76,714.80 and 16,083.77

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Solution

The fourth proportional to 51,141.38, 76,714.80 and 16,083.77 is: 24,126.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,141.38 : 76,714.80 = 16,083.77 : x
  2. Step 2: Convert to fraction form
    51,141.38/76,714.80 = 16,083.77/x
  3. Step 3: Cross multiply
    51,141.38x = 76,714.80 × 16,083.77
  4. Step 4: Simplify right side
    51,141.38x = 1,233,862,754.91
  5. Step 5: Solve for x
    x = 1,233,862,754.91/51,141.38
  6. Step 6: Final answer
    x = 24,126.51

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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.