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Finding the Fourth Proportional to 33,208.70, 49,798.38 and 9,510.87

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Solution

The fourth proportional to 33,208.70, 49,798.38 and 9,510.87 is: 14,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,208.70 : 49,798.38 = 9,510.87 : x
  2. Step 2: Convert to fraction form
    33,208.70/49,798.38 = 9,510.87/x
  3. Step 3: Cross multiply
    33,208.70x = 49,798.38 × 9,510.87
  4. Step 4: Simplify right side
    33,208.70x = 473,625,918.39
  5. Step 5: Solve for x
    x = 473,625,918.39/33,208.70
  6. Step 6: Final answer
    x = 14,262.10

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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.