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Finding the Fourth Proportional to 32,872.80, 49,310.80 and 9,180.32

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Solution

The fourth proportional to 32,872.80, 49,310.80 and 9,180.32 is: 13,770.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872.80 : 49,310.80 = 9,180.32 : x
  2. Step 2: Convert to fraction form
    32,872.80/49,310.80 = 9,180.32/x
  3. Step 3: Cross multiply
    32,872.80x = 49,310.80 × 9,180.32
  4. Step 4: Simplify right side
    32,872.80x = 452,688,923.46
  5. Step 5: Solve for x
    x = 452,688,923.46/32,872.80
  6. Step 6: Final answer
    x = 13,770.93

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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.