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Finding the Fourth Proportional to 103,698.47, 155,570.39 and 33,584.87

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Solution

The fourth proportional to 103,698.47, 155,570.39 and 33,584.87 is: 50,384.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.47 : 155,570.39 = 33,584.87 : x
  2. Step 2: Convert to fraction form
    103,698.47/155,570.39 = 33,584.87/x
  3. Step 3: Cross multiply
    103,698.47x = 155,570.39 × 33,584.87
  4. Step 4: Simplify right side
    103,698.47x = 5,224,811,324.00
  5. Step 5: Solve for x
    x = 5,224,811,324.00/103,698.47
  6. Step 6: Final answer
    x = 50,384.65

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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.