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Finding the Fourth Proportional to 103,784.19, 155,698.15 and 33,658.03

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Solution

The fourth proportional to 103,784.19, 155,698.15 and 33,658.03 is: 50,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,784.19 : 155,698.15 = 33,658.03 : x
  2. Step 2: Convert to fraction form
    103,784.19/155,698.15 = 33,658.03/x
  3. Step 3: Cross multiply
    103,784.19x = 155,698.15 × 33,658.03
  4. Step 4: Simplify right side
    103,784.19x = 5,240,493,177.23
  5. Step 5: Solve for x
    x = 5,240,493,177.23/103,784.19
  6. Step 6: Final answer
    x = 50,494.14

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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.