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Finding the Fourth Proportional to 110,559, 165,840.30 and 31,672.92

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Solution

The fourth proportional to 110,559, 165,840.30 and 31,672.92 is: 47,509.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,559 : 165,840.30 = 31,672.92 : x
  2. Step 2: Convert to fraction form
    110,559/165,840.30 = 31,672.92/x
  3. Step 3: Cross multiply
    110,559x = 165,840.30 × 31,672.92
  4. Step 4: Simplify right side
    110,559x = 5,252,646,554.68
  5. Step 5: Solve for x
    x = 5,252,646,554.68/110,559
  6. Step 6: Final answer
    x = 47,509.90

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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.