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Finding the Fourth Proportional to 110,537.98, 165,806.98 and 31,652.54

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Solution

The fourth proportional to 110,537.98, 165,806.98 and 31,652.54 is: 47,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,537.98 : 165,806.98 = 31,652.54 : x
  2. Step 2: Convert to fraction form
    110,537.98/165,806.98 = 31,652.54/x
  3. Step 3: Cross multiply
    110,537.98x = 165,806.98 × 31,652.54
  4. Step 4: Simplify right side
    110,537.98x = 5,248,212,066.73
  5. Step 5: Solve for x
    x = 5,248,212,066.73/110,537.98
  6. Step 6: Final answer
    x = 47,478.81

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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.