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Finding the Fourth Proportional to 110,540.21, 165,842.62 and 35,658.71

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Solution

The fourth proportional to 110,540.21, 165,842.62 and 35,658.71 is: 53,498.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,540.21 : 165,842.62 = 35,658.71 : x
  2. Step 2: Convert to fraction form
    110,540.21/165,842.62 = 35,658.71/x
  3. Step 3: Cross multiply
    110,540.21x = 165,842.62 × 35,658.71
  4. Step 4: Simplify right side
    110,540.21x = 5,913,732,973.86
  5. Step 5: Solve for x
    x = 5,913,732,973.86/110,540.21
  6. Step 6: Final answer
    x = 53,498.48

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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.