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Finding the Fourth Proportional to 33,009.70, 49,494.77 and 10,510.66

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Solution

The fourth proportional to 33,009.70, 49,494.77 and 10,510.66 is: 15,759.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,009.70 : 49,494.77 = 10,510.66 : x
  2. Step 2: Convert to fraction form
    33,009.70/49,494.77 = 10,510.66/x
  3. Step 3: Cross multiply
    33,009.70x = 49,494.77 × 10,510.66
  4. Step 4: Simplify right side
    33,009.70x = 520,222,699.25
  5. Step 5: Solve for x
    x = 520,222,699.25/33,009.70
  6. Step 6: Final answer
    x = 15,759.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.