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Finding the Fourth Proportional to 100,883.70, 151,320.06 and 30,757.50

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Solution

The fourth proportional to 100,883.70, 151,320.06 and 30,757.50 is: 46,134.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,883.70 : 151,320.06 = 30,757.50 : x
  2. Step 2: Convert to fraction form
    100,883.70/151,320.06 = 30,757.50/x
  3. Step 3: Cross multiply
    100,883.70x = 151,320.06 × 30,757.50
  4. Step 4: Simplify right side
    100,883.70x = 4,654,226,745.45
  5. Step 5: Solve for x
    x = 4,654,226,745.45/100,883.70
  6. Step 6: Final answer
    x = 46,134.58

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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.