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Finding the Fourth Proportional to 32,951.82, 49,421.25 and 10,765.98

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Solution

The fourth proportional to 32,951.82, 49,421.25 and 10,765.98 is: 16,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,951.82 : 49,421.25 = 10,765.98 : x
  2. Step 2: Convert to fraction form
    32,951.82/49,421.25 = 10,765.98/x
  3. Step 3: Cross multiply
    32,951.82x = 49,421.25 × 10,765.98
  4. Step 4: Simplify right side
    32,951.82x = 532,068,189.08
  5. Step 5: Solve for x
    x = 532,068,189.08/32,951.82
  6. Step 6: Final answer
    x = 16,146.85

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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.