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Finding the Fourth Proportional to 34,144.65, 51,235.34 and 32,902.02

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Solution

The fourth proportional to 34,144.65, 51,235.34 and 32,902.02 is: 49,370.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,144.65 : 51,235.34 = 32,902.02 : x
  2. Step 2: Convert to fraction form
    34,144.65/51,235.34 = 32,902.02/x
  3. Step 3: Cross multiply
    34,144.65x = 51,235.34 × 32,902.02
  4. Step 4: Simplify right side
    34,144.65x = 1,685,746,016.88
  5. Step 5: Solve for x
    x = 1,685,746,016.88/34,144.65
  6. Step 6: Final answer
    x = 49,370.72

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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.