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Finding the Fourth Proportional to 34,443.70, 51,653.40 and 15,732.70

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Solution

The fourth proportional to 34,443.70, 51,653.40 and 15,732.70 is: 23,593.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,443.70 : 51,653.40 = 15,732.70 : x
  2. Step 2: Convert to fraction form
    34,443.70/51,653.40 = 15,732.70/x
  3. Step 3: Cross multiply
    34,443.70x = 51,653.40 × 15,732.70
  4. Step 4: Simplify right side
    34,443.70x = 812,647,446.18
  5. Step 5: Solve for x
    x = 812,647,446.18/34,443.70
  6. Step 6: Final answer
    x = 23,593.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.