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Finding the Fourth Proportional to 34,612.84, 51,919.26 and 9,651.88

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Solution

The fourth proportional to 34,612.84, 51,919.26 and 9,651.88 is: 14,477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,612.84 : 51,919.26 = 9,651.88 : x
  2. Step 2: Convert to fraction form
    34,612.84/51,919.26 = 9,651.88/x
  3. Step 3: Cross multiply
    34,612.84x = 51,919.26 × 9,651.88
  4. Step 4: Simplify right side
    34,612.84x = 501,118,467.21
  5. Step 5: Solve for x
    x = 501,118,467.21/34,612.84
  6. Step 6: Final answer
    x = 14,477.82

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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.