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Finding the Fourth Proportional to 102,405.75, 153,634.55 and 28,533.75

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Solution

The fourth proportional to 102,405.75, 153,634.55 and 28,533.75 is: 42,807.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,405.75 : 153,634.55 = 28,533.75 : x
  2. Step 2: Convert to fraction form
    102,405.75/153,634.55 = 28,533.75/x
  3. Step 3: Cross multiply
    102,405.75x = 153,634.55 × 28,533.75
  4. Step 4: Simplify right side
    102,405.75x = 4,383,769,698.39
  5. Step 5: Solve for x
    x = 4,383,769,698.39/102,405.75
  6. Step 6: Final answer
    x = 42,807.85

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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.