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Finding the Fourth Proportional to 34,479.64, 51,723.51 and 12,296.17

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Solution

The fourth proportional to 34,479.64, 51,723.51 and 12,296.17 is: 18,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,479.64 : 51,723.51 = 12,296.17 : x
  2. Step 2: Convert to fraction form
    34,479.64/51,723.51 = 12,296.17/x
  3. Step 3: Cross multiply
    34,479.64x = 51,723.51 × 12,296.17
  4. Step 4: Simplify right side
    34,479.64x = 636,000,751.86
  5. Step 5: Solve for x
    x = 636,000,751.86/34,479.64
  6. Step 6: Final answer
    x = 18,445.69

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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.