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Finding the Fourth Proportional to 32,975.69, 49,461.98 and 10,786.14

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Solution

The fourth proportional to 32,975.69, 49,461.98 and 10,786.14 is: 16,178.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,975.69 : 49,461.98 = 10,786.14 : x
  2. Step 2: Convert to fraction form
    32,975.69/49,461.98 = 10,786.14/x
  3. Step 3: Cross multiply
    32,975.69x = 49,461.98 × 10,786.14
  4. Step 4: Simplify right side
    32,975.69x = 533,503,787.03
  5. Step 5: Solve for x
    x = 533,503,787.03/32,975.69
  6. Step 6: Final answer
    x = 16,178.70

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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.