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Finding the Fourth Proportional to 33,028.50, 49,542.75 and 9,654.94

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Solution

The fourth proportional to 33,028.50, 49,542.75 and 9,654.94 is: 14,482.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028.50 : 49,542.75 = 9,654.94 : x
  2. Step 2: Convert to fraction form
    33,028.50/49,542.75 = 9,654.94/x
  3. Step 3: Cross multiply
    33,028.50x = 49,542.75 × 9,654.94
  4. Step 4: Simplify right side
    33,028.50x = 478,332,154.83
  5. Step 5: Solve for x
    x = 478,332,154.83/33,028.50
  6. Step 6: Final answer
    x = 14,482.41

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1.5x scale

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.