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Finding the Fourth Proportional to 32,780.89, 49,176.80 and 10,591.65

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Solution

The fourth proportional to 32,780.89, 49,176.80 and 10,591.65 is: 15,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,780.89 : 49,176.80 = 10,591.65 : x
  2. Step 2: Convert to fraction form
    32,780.89/49,176.80 = 10,591.65/x
  3. Step 3: Cross multiply
    32,780.89x = 49,176.80 × 10,591.65
  4. Step 4: Simplify right side
    32,780.89x = 520,863,453.72
  5. Step 5: Solve for x
    x = 520,863,453.72/32,780.89
  6. Step 6: Final answer
    x = 15,889.24

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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.