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Finding the Fourth Proportional to 32,963.55, 49,451.69 and 10,770.94

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Solution

The fourth proportional to 32,963.55, 49,451.69 and 10,770.94 is: 16,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,963.55 : 49,451.69 = 10,770.94 : x
  2. Step 2: Convert to fraction form
    32,963.55/49,451.69 = 10,770.94/x
  3. Step 3: Cross multiply
    32,963.55x = 49,451.69 × 10,770.94
  4. Step 4: Simplify right side
    32,963.55x = 532,641,185.89
  5. Step 5: Solve for x
    x = 532,641,185.89/32,963.55
  6. Step 6: Final answer
    x = 16,158.49

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Why These Related Problems?

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