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Finding the Fourth Proportional to 33,043.80, 49,566.78 and 9,672.60

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Solution

The fourth proportional to 33,043.80, 49,566.78 and 9,672.60 is: 14,509.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,043.80 : 49,566.78 = 9,672.60 : x
  2. Step 2: Convert to fraction form
    33,043.80/49,566.78 = 9,672.60/x
  3. Step 3: Cross multiply
    33,043.80x = 49,566.78 × 9,672.60
  4. Step 4: Simplify right side
    33,043.80x = 479,439,636.23
  5. Step 5: Solve for x
    x = 479,439,636.23/33,043.80
  6. Step 6: Final answer
    x = 14,509.22

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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.