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Finding the Fourth Proportional to 34,700.28, 47,836.62 and 24,747

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Solution

The fourth proportional to 34,700.28, 47,836.62 and 24,747 is: 34,115.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,700.28 : 47,836.62 = 24,747 : x
  2. Step 2: Convert to fraction form
    34,700.28/47,836.62 = 24,747/x
  3. Step 3: Cross multiply
    34,700.28x = 47,836.62 × 24,747
  4. Step 4: Simplify right side
    34,700.28x = 1,183,812,835.14
  5. Step 5: Solve for x
    x = 1,183,812,835.14/34,700.28
  6. Step 6: Final answer
    x = 34,115.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.