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Finding the Fourth Proportional to 110,574.64, 165,890.56 and 31,694.64

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Solution

The fourth proportional to 110,574.64, 165,890.56 and 31,694.64 is: 47,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,574.64 : 165,890.56 = 31,694.64 : x
  2. Step 2: Convert to fraction form
    110,574.64/165,890.56 = 31,694.64/x
  3. Step 3: Cross multiply
    110,574.64x = 165,890.56 × 31,694.64
  4. Step 4: Simplify right side
    110,574.64x = 5,257,841,578.60
  5. Step 5: Solve for x
    x = 5,257,841,578.60/110,574.64
  6. Step 6: Final answer
    x = 47,550.16

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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.