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Finding the Fourth Proportional to 32,676.96, 49,017.06 and 9,306.84

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Solution

The fourth proportional to 32,676.96, 49,017.06 and 9,306.84 is: 13,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,676.96 : 49,017.06 = 9,306.84 : x
  2. Step 2: Convert to fraction form
    32,676.96/49,017.06 = 9,306.84/x
  3. Step 3: Cross multiply
    32,676.96x = 49,017.06 × 9,306.84
  4. Step 4: Simplify right side
    32,676.96x = 456,193,934.69
  5. Step 5: Solve for x
    x = 456,193,934.69/32,676.96
  6. Step 6: Final answer
    x = 13,960.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.