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Finding the Fourth Proportional to 114,535.66, 171,819.69 and 35,657.86

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Solution

The fourth proportional to 114,535.66, 171,819.69 and 35,657.86 is: 53,491.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,535.66 : 171,819.69 = 35,657.86 : x
  2. Step 2: Convert to fraction form
    114,535.66/171,819.69 = 35,657.86/x
  3. Step 3: Cross multiply
    114,535.66x = 171,819.69 × 35,657.86
  4. Step 4: Simplify right side
    114,535.66x = 6,126,722,451.26
  5. Step 5: Solve for x
    x = 6,126,722,451.26/114,535.66
  6. Step 6: Final answer
    x = 53,491.83

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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.