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Finding the Fourth Proportional to 111,296.52, 166,955.04 and 36,417

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Solution

The fourth proportional to 111,296.52, 166,955.04 and 36,417 is: 54,628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,296.52 : 166,955.04 = 36,417 : x
  2. Step 2: Convert to fraction form
    111,296.52/166,955.04 = 36,417/x
  3. Step 3: Cross multiply
    111,296.52x = 166,955.04 × 36,417
  4. Step 4: Simplify right side
    111,296.52x = 6,080,001,691.68
  5. Step 5: Solve for x
    x = 6,080,001,691.68/111,296.52
  6. Step 6: Final answer
    x = 54,628.86

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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.