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Finding the Fourth Proportional to 106,556.58, 159,820.65 and 31,675.32

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Solution

The fourth proportional to 106,556.58, 159,820.65 and 31,675.32 is: 47,508.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,556.58 : 159,820.65 = 31,675.32 : x
  2. Step 2: Convert to fraction form
    106,556.58/159,820.65 = 31,675.32/x
  3. Step 3: Cross multiply
    106,556.58x = 159,820.65 × 31,675.32
  4. Step 4: Simplify right side
    106,556.58x = 5,062,370,231.36
  5. Step 5: Solve for x
    x = 5,062,370,231.36/106,556.58
  6. Step 6: Final answer
    x = 47,508.75

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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.