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Finding the Fourth Proportional to 34,614.84, 51,929.22 and 12,429.96

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Solution

The fourth proportional to 34,614.84, 51,929.22 and 12,429.96 is: 18,647.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,614.84 : 51,929.22 = 12,429.96 : x
  2. Step 2: Convert to fraction form
    34,614.84/51,929.22 = 12,429.96/x
  3. Step 3: Cross multiply
    34,614.84x = 51,929.22 × 12,429.96
  4. Step 4: Simplify right side
    34,614.84x = 645,478,127.43
  5. Step 5: Solve for x
    x = 645,478,127.43/34,614.84
  6. Step 6: Final answer
    x = 18,647.44

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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.