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Finding the Fourth Proportional to 101,379.78, 152,077.56 and 30,297

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Solution

The fourth proportional to 101,379.78, 152,077.56 and 30,297 is: 45,447.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,379.78 : 152,077.56 = 30,297 : x
  2. Step 2: Convert to fraction form
    101,379.78/152,077.56 = 30,297/x
  3. Step 3: Cross multiply
    101,379.78x = 152,077.56 × 30,297
  4. Step 4: Simplify right side
    101,379.78x = 4,607,493,835.32
  5. Step 5: Solve for x
    x = 4,607,493,835.32/101,379.78
  6. Step 6: Final answer
    x = 45,447.86

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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.