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Finding the Fourth Proportional to 103,205.12, 154,797.60 and 33,065.60

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Solution

The fourth proportional to 103,205.12, 154,797.60 and 33,065.60 is: 49,595.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,205.12 : 154,797.60 = 33,065.60 : x
  2. Step 2: Convert to fraction form
    103,205.12/154,797.60 = 33,065.60/x
  3. Step 3: Cross multiply
    103,205.12x = 154,797.60 × 33,065.60
  4. Step 4: Simplify right side
    103,205.12x = 5,118,475,522.56
  5. Step 5: Solve for x
    x = 5,118,475,522.56/103,205.12
  6. Step 6: Final answer
    x = 49,595.17

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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.