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Finding the Fourth Proportional to 51,870, 71,585.46 and 29,514

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Solution

The fourth proportional to 51,870, 71,585.46 and 29,514 is: 40,732.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,870 : 71,585.46 = 29,514 : x
  2. Step 2: Convert to fraction form
    51,870/71,585.46 = 29,514/x
  3. Step 3: Cross multiply
    51,870x = 71,585.46 × 29,514
  4. Step 4: Simplify right side
    51,870x = 2,112,773,266.44
  5. Step 5: Solve for x
    x = 2,112,773,266.44/51,870
  6. Step 6: Final answer
    x = 40,732.09

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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.