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Finding the Fourth Proportional to 110,858.31, 166,263.12 and 31,955.40

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Solution

The fourth proportional to 110,858.31, 166,263.12 and 31,955.40 is: 47,926.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,858.31 : 166,263.12 = 31,955.40 : x
  2. Step 2: Convert to fraction form
    110,858.31/166,263.12 = 31,955.40/x
  3. Step 3: Cross multiply
    110,858.31x = 166,263.12 × 31,955.40
  4. Step 4: Simplify right side
    110,858.31x = 5,313,004,504.85
  5. Step 5: Solve for x
    x = 5,313,004,504.85/110,858.31
  6. Step 6: Final answer
    x = 47,926.08

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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.