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Finding the Fourth Proportional to 129,259.93, 193,894.21 and 35,757.85

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Solution

The fourth proportional to 129,259.93, 193,894.21 and 35,757.85 is: 53,637.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,259.93 : 193,894.21 = 35,757.85 : x
  2. Step 2: Convert to fraction form
    129,259.93/193,894.21 = 35,757.85/x
  3. Step 3: Cross multiply
    129,259.93x = 193,894.21 × 35,757.85
  4. Step 4: Simplify right side
    129,259.93x = 6,933,239,018.18
  5. Step 5: Solve for x
    x = 6,933,239,018.18/129,259.93
  6. Step 6: Final answer
    x = 53,637.96

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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.