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Finding the Fourth Proportional to 111,164.91, 166,752.72 and 36,285

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Solution

The fourth proportional to 111,164.91, 166,752.72 and 36,285 is: 54,429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,164.91 : 166,752.72 = 36,285 : x
  2. Step 2: Convert to fraction form
    111,164.91/166,752.72 = 36,285/x
  3. Step 3: Cross multiply
    111,164.91x = 166,752.72 × 36,285
  4. Step 4: Simplify right side
    111,164.91x = 6,050,622,445.20
  5. Step 5: Solve for x
    x = 6,050,622,445.20/111,164.91
  6. Step 6: Final answer
    x = 54,429.25

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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.