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Finding the Fourth Proportional to 110,594.64, 165,862.56 and 31,687.68

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Solution

The fourth proportional to 110,594.64, 165,862.56 and 31,687.68 is: 47,523.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,594.64 : 165,862.56 = 31,687.68 : x
  2. Step 2: Convert to fraction form
    110,594.64/165,862.56 = 31,687.68/x
  3. Step 3: Cross multiply
    110,594.64x = 165,862.56 × 31,687.68
  4. Step 4: Simplify right side
    110,594.64x = 5,255,799,725.26
  5. Step 5: Solve for x
    x = 5,255,799,725.26/110,594.64
  6. Step 6: Final answer
    x = 47,523.10

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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.