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Finding the Fourth Proportional to 33,039.67, 49,561.03 and 9,349

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Solution

The fourth proportional to 33,039.67, 49,561.03 and 9,349 is: 14,023.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,039.67 : 49,561.03 = 9,349 : x
  2. Step 2: Convert to fraction form
    33,039.67/49,561.03 = 9,349/x
  3. Step 3: Cross multiply
    33,039.67x = 49,561.03 × 9,349
  4. Step 4: Simplify right side
    33,039.67x = 463,346,069.47
  5. Step 5: Solve for x
    x = 463,346,069.47/33,039.67
  6. Step 6: Final answer
    x = 14,023.93

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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.