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Finding the Fourth Proportional to 110,690.20, 166,017.48 and 31,786.48

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Solution

The fourth proportional to 110,690.20, 166,017.48 and 31,786.48 is: 47,674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,690.20 : 166,017.48 = 31,786.48 : x
  2. Step 2: Convert to fraction form
    110,690.20/166,017.48 = 31,786.48/x
  3. Step 3: Cross multiply
    110,690.20x = 166,017.48 × 31,786.48
  4. Step 4: Simplify right side
    110,690.20x = 5,277,111,307.67
  5. Step 5: Solve for x
    x = 5,277,111,307.67/110,690.20
  6. Step 6: Final answer
    x = 47,674.60

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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.