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Finding the Fourth Proportional to 32,810.42, 49,205.30 and 10,618.65

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Solution

The fourth proportional to 32,810.42, 49,205.30 and 10,618.65 is: 15,924.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810.42 : 49,205.30 = 10,618.65 : x
  2. Step 2: Convert to fraction form
    32,810.42/49,205.30 = 10,618.65/x
  3. Step 3: Cross multiply
    32,810.42x = 49,205.30 × 10,618.65
  4. Step 4: Simplify right side
    32,810.42x = 522,493,805.75
  5. Step 5: Solve for x
    x = 522,493,805.75/32,810.42
  6. Step 6: Final answer
    x = 15,924.63

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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.