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Finding the Fourth Proportional to 34,423.56, 51,634.70 and 9,463.50

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Solution

The fourth proportional to 34,423.56, 51,634.70 and 9,463.50 is: 14,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,423.56 : 51,634.70 = 9,463.50 : x
  2. Step 2: Convert to fraction form
    34,423.56/51,634.70 = 9,463.50/x
  3. Step 3: Cross multiply
    34,423.56x = 51,634.70 × 9,463.50
  4. Step 4: Simplify right side
    34,423.56x = 488,644,983.45
  5. Step 5: Solve for x
    x = 488,644,983.45/34,423.56
  6. Step 6: Final answer
    x = 14,195.07

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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.