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Finding the Fourth Proportional to 110,852.88, 166,303.92 and 31,960.96

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Solution

The fourth proportional to 110,852.88, 166,303.92 and 31,960.96 is: 47,948.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,852.88 : 166,303.92 = 31,960.96 : x
  2. Step 2: Convert to fraction form
    110,852.88/166,303.92 = 31,960.96/x
  3. Step 3: Cross multiply
    110,852.88x = 166,303.92 × 31,960.96
  4. Step 4: Simplify right side
    110,852.88x = 5,315,232,934.96
  5. Step 5: Solve for x
    x = 5,315,232,934.96/110,852.88
  6. Step 6: Final answer
    x = 47,948.53

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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.