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Finding the Fourth Proportional to 110,570.64, 165,884.56 and 31,690.64

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Solution

The fourth proportional to 110,570.64, 165,884.56 and 31,690.64 is: 47,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,570.64 : 165,884.56 = 31,690.64 : x
  2. Step 2: Convert to fraction form
    110,570.64/165,884.56 = 31,690.64/x
  3. Step 3: Cross multiply
    110,570.64x = 165,884.56 × 31,690.64
  4. Step 4: Simplify right side
    110,570.64x = 5,256,987,872.52
  5. Step 5: Solve for x
    x = 5,256,987,872.52/110,570.64
  6. Step 6: Final answer
    x = 47,544.16

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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.