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Finding the Fourth Proportional to 34,540.65, 51,811.11 and 9,582.66

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Solution

The fourth proportional to 34,540.65, 51,811.11 and 9,582.66 is: 14,374.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,540.65 : 51,811.11 = 9,582.66 : x
  2. Step 2: Convert to fraction form
    34,540.65/51,811.11 = 9,582.66/x
  3. Step 3: Cross multiply
    34,540.65x = 51,811.11 × 9,582.66
  4. Step 4: Simplify right side
    34,540.65x = 496,488,251.35
  5. Step 5: Solve for x
    x = 496,488,251.35/34,540.65
  6. Step 6: Final answer
    x = 14,374.03

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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.