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Finding the Fourth Proportional to 33,035.85, 49,561.47 and 9,664.11

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Solution

The fourth proportional to 33,035.85, 49,561.47 and 9,664.11 is: 14,498.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,035.85 : 49,561.47 = 9,664.11 : x
  2. Step 2: Convert to fraction form
    33,035.85/49,561.47 = 9,664.11/x
  3. Step 3: Cross multiply
    33,035.85x = 49,561.47 × 9,664.11
  4. Step 4: Simplify right side
    33,035.85x = 478,967,497.84
  5. Step 5: Solve for x
    x = 478,967,497.84/33,035.85
  6. Step 6: Final answer
    x = 14,498.42

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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.