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Finding the Fourth Proportional to 110,548.54, 165,822.18 and 31,662.79

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Solution

The fourth proportional to 110,548.54, 165,822.18 and 31,662.79 is: 47,494.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,548.54 : 165,822.18 = 31,662.79 : x
  2. Step 2: Convert to fraction form
    110,548.54/165,822.18 = 31,662.79/x
  3. Step 3: Cross multiply
    110,548.54x = 165,822.18 × 31,662.79
  4. Step 4: Simplify right side
    110,548.54x = 5,250,392,862.68
  5. Step 5: Solve for x
    x = 5,250,392,862.68/110,548.54
  6. Step 6: Final answer
    x = 47,494.00

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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.