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Finding the Fourth Proportional to 115,259.96, 172,883.82 and 35,297.90

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Solution

The fourth proportional to 115,259.96, 172,883.82 and 35,297.90 is: 52,944.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,259.96 : 172,883.82 = 35,297.90 : x
  2. Step 2: Convert to fraction form
    115,259.96/172,883.82 = 35,297.90/x
  3. Step 3: Cross multiply
    115,259.96x = 172,883.82 × 35,297.90
  4. Step 4: Simplify right side
    115,259.96x = 6,102,435,789.98
  5. Step 5: Solve for x
    x = 6,102,435,789.98/115,259.96
  6. Step 6: Final answer
    x = 52,944.98

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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.