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Finding the Fourth Proportional to 110,856.90, 166,309.92 and 31,964.98

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Solution

The fourth proportional to 110,856.90, 166,309.92 and 31,964.98 is: 47,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,856.90 : 166,309.92 = 31,964.98 : x
  2. Step 2: Convert to fraction form
    110,856.90/166,309.92 = 31,964.98/x
  3. Step 3: Cross multiply
    110,856.90x = 166,309.92 × 31,964.98
  4. Step 4: Simplify right side
    110,856.90x = 5,316,093,266.60
  5. Step 5: Solve for x
    x = 5,316,093,266.60/110,856.90
  6. Step 6: Final answer
    x = 47,954.55

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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.